HomeTestsSearchRankProfile

Coordinate Geometry Questions

Practice 107 Coordinate Geometry questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

📚
107
Total Questions
🟢
3
Easy
🟡
96
Medium
🔴
8
Hard
Practice by Exam:Mathematics(77)Quantitative Aptitude(26)Mathematics and Science(2)General Intelligence and Reasoning(1)Quantitative Aptitude@NUM: 71(1)

About Coordinate Geometry — practice questions, PYQs & concepts

Coordinate Geometry is a frequently-tested topic on Mathematics, Quantitative Aptitude, Mathematics and Science. ExamTest.live currently lists 107 Coordinate Geometry questions spanning previous-year papers from 2004 to 2026, each with worked solutions and a step-by-step explanation. Use the filters on this page to focus on a specific exam, difficulty level or year — every answer key is free, no sign-up required.

Coordinate Geometry weight in competitive exams

Across our Coordinate Geometry question bank, the largest sources are Mathematics (77), Quantitative Aptitude (26), Mathematics and Science (2), General Intelligence and Reasoning (1) and Quantitative Aptitude@NUM: 71 (1). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 3 easy Coordinate Geometry questions are available — build fluency before moving up.
  • Target weak years: Use the year filter to focus on the most recent 2026 paper or older PYQs you have not attempted.
  • Time yourself: Every question shows the average solve time so you can benchmark your speed against other students.
  • Read every explanation: Even on questions you got right — the explanation often surfaces a faster approach you can reuse.

All Coordinate Geometry Questions(1–100 of 107)

2 pages
Filter:
Q1mediummcqMathematicsMathematics Mock Test - 62026
7% accuracy
The solution of linear inequalities and lies:
Q2mediummcqMathematicsMathematics Mock Test - 62026
25% accuracy
What are the direction ratios of the normal to the plane ?
Q3mediummcqMathematicsMathematics Mock Test - 62026
7% accuracy
Which of the following is the point of intersection of the line and the plane ?
Q4mediummcqMathematicsMathematics Mock Test - 62026
7% accuracy
If the points , and are collinear, then find the value of .
Q5mediummcqMathematicsMathematics Mock Test - 102026
15% accuracy
A unit vector is coplanar to the vectors and and perpendicular to the vector . It is:
Q6mediummcqMathematicsMathematics Mock Test - 102026
8% accuracy
The area in the first quadrant between and is:
Q7mediummcqMathematicsMathematics Mock Test - 12026
25% accuracy
If the area of the triangle formed by vertices , , and is square units, then can be:
Q8mediummcqMathematicsMathematics Mock Test - 12026
0% accuracy
The points , , and will always be:
Q9mediummcqQuantitative AptitudeStaff Selection Commission2026
0% accuracy
What is the slope of the line perpendicular to the line passing through the points (−4,5) and (3,−2)?
Q10mediummcqQuantitative AptitudeSSC CGL2026
33% accuracy
The co-ordinates of the centroid of a triangle ABC are (3,−2). What are the co-ordinates of vertex C if co-ordinates of A and B are (−2,5) and (6,−2) respectively?
Q11mediummcqQuantitative AptitudeSSC CGL2026
33% accuracy
The slope of the line passing through the points (−5,1) and (x,−4) is −5/8. Find x.
Q12mediummcqQuantitative AptitudeSSC CGL2026
50% accuracy
The line passing through (4,3) and (y,0) is parallel to the line passing through (−1,−2) and (3,0). Find y.
Q13mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
Which of the following points lie on the line 7x+3y=4?
Q14mediummcqQuantitative AptitudeSSC CGL2026
50% accuracy
In what ratio is the segment joining (12,−1) and (−3,4) divided by the Y-axis?
Q15mediummcqQuantitative AptitudeSSC CGL2026
50% accuracy
In what ratio is the line segment joining (2,−4) and (−3,2) divided by the Y-axis?
Q16mediummcqMathematicsAIEEE 20062026
0% accuracy
The image of the point in the plane is:
Q17mediummcqMathematicsAIEEE 20062026
0% accuracy
The locus of the vertices of the family of parabolas is:
Q18mediummcqMathematicsAIEEE 20062026
0% accuracy
Angle between the tangents to the curve at the points and is:
Q19mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
Find , if the line is perpendicular to the line .
Q20mediummcqMathematicsAIEEE 20072026
0% accuracy
Let , and be three points. The equation of the bisector of the angle is:
Q21mediummcqQuantitative AptitudeStaff Selection Commission2026
0% accuracy
The coordinates of the centroid of a triangle ABC are . What are the coordinates of vertex C, if the coordinates of A and B are and respectively?
Q22mediummcqMathematicsStaff Selection Commission2026
0% accuracy
At what point does the line 4x−3y=−6 intercept the y-axis?
Q23hardmcqMathematicsAIEEE 20042026
0% accuracy
The eccentricity of an ellipse, with its centre at the origin, is If one of the directrices is then the equation of the ellipse is
Q24mediummcqMathematicsAIEEE 20062026
0% accuracy
The two lines ; and are perpendicular to each other if:
Q25mediummcqMathematicsAIEEE 20062026
0% accuracy
A straight line through the point is such that its intercept between the axes is bisected at . Its equation is:
Q26mediummcqMathematicsMathematics Mock Test - 42026
100% accuracy
Find the area of a triangle with vertices at points , , and .
Q27mediummcqMathematicsAIEEE 20062026
0% accuracy
In an ellipse, the distance between its foci is and the minor axis is . Then its eccentricity is:
Q28mediummcqMathematicsAIEEE 20062026
0% accuracy
If the lines and are two diameters of a circle of area square units, the equation of the circle is:
Q29mediummcqMathematicsAIEEE 20072026
0% accuracy
If one of the lines of is a bisector of the angle between the lines , then is:
Q30mediummcqQuantitative Aptitude@NUM: 71SSC CGL2026
0% accuracy
What is the slope of the line parallel to the line ?
Q31mediummcqMathematicsAIEEE 20072026
0% accuracy
Consider a family of circles which are passing through the point and are tangent to the -axis. If are the coordinates of the centre of the circles, then the set of values of is given by the interval:
Q32mediummcqMathematicsAIEEE 20072026
100% accuracy
The normal to a curve at meets the -axis at . If the distance of from the origin is twice the abscissa of , then the curve is a:
Q33mediummcqMathematicsAIEEE 20062026
0% accuracy
Let be the circle with centre and radius units. The equation of the locus of the mid points of the chords of the circle that subtend an angle of at its centre is:
Q34mediummcqQuantitative AptitudeStaff Selection Commission2026
0% accuracy
What is the slope of the line parallel to the line passing through the points and ?
Q35mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
A(7,−8) and C(1,4) are vertices of a square ABCD. Find the equation of diagonal BD.
Q36hardmcqMathematicsAIEEE 20042026
0% accuracy
If the lines and lie along diameters of a circle of circumference then the equation of the circle is
Q37hardmcqMathematicsAIEEE 20042026
0% accuracy
The intercept on the line by the circle is Equation of the circle on as a diameter is
Q38mediummcqMathematicsAIEEE 20072026
0% accuracy
Let , and be the vertices of a right angled triangle with as its hypotenuse. If the area of the triangle is , then the set of values which can take is given by:
Q39mediummcqMathematicsStaff Selection Commission2026
0% accuracy
In what ratio is the segment joining (−1,−12) and (3,4) divided by the x-axis?
Q40hardmcqMathematicsAIEEE 20042026
0% accuracy
If and the line passes through the points of intersection of the parabolas and then
Q41mediummcqMathematicsJEE Main2026
The equation of the circle passing through the foci of the ellipse , and having centre at is:
Q42mediummcqMathematicsAIEEE-CBSE-ENG-032026
If the two circles and intersect in two distinct points, then:
Q43mediummcqMathematicsMathematics Mock Test - 32026
If the curve passes through and the tangent to this curve at the origin is , then the possible values of are:
Q44mediummcqMathematicsAIEEE2026
An ellipse has as semi minor axis, and its foci and the angle is a right angle. Then the eccentricity of the ellipse is:
Q45mediummcqMathematicsAIEEE-CBSE-ENG-032026
If the equation of the locus of a point equidistant from the points and is , then the value of ' ' is:
Q46mediummcqMathematicsMathematics Mock Test - 32026
The points and are collinear if the value of is:
Q47mediummcqMathematicsAIEEE-CBSE-ENG-032026
A square of side lies above the -axis and has one vertex at the origin. The side passing through the origin makes an angle () with the positive direction of -axis. The equation of its diagonal not passing through the origin is:
Q48easymcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
The distance of the point from the y-axis is
Q49mediummcqQuantitative AptitudeCompetitive Exams2026
What is the slope of the line perpendicular to the line passing through the points and ?
Q50mediummcqMathematicsAIEEE2026
If the pair of lines lie along diameters of a circle and divide the circle into four sectors such that the area of one of the sectors is thrice the area of another sector then:
Q51mediummcqMathematicsAIEEE2026
The line parallel to the x-axis and passing through the intersection of the lines and , where is:
Q52mediummcqMathematicsAIEEE-CBSE-ENG-032026
The lines and are diameters of a circle having area as 154 sq units. Then the equation of the circle is:
Q53mediummcqQuantitative AptitudeCompetitive Exam2026
What is the slope of the line perpendicular to the line passing through the points (8,−2) and (3,−1)?
Q54mediummcqQuantitative AptitudeStaff Selection Commission2026
Find the equation of the perpendicular bisector of the segment joining the points (2,−6) and (4,0).
Q55mediummcqQuantitative AptitudeSSC CGL2026
Find the equation of the perpendicular to the segment joining the points A(0,4) and B(−5,9) and passing through the point P. Point P divides the segment AB in the ratio 2:3.
Q56mediummcqQuantitative AptitudeCompetitive Exam2026
A(4,−3) and C(0,7) are vertices of a square ABCD. Find the equation of diagonal BD?
Q57mediummcqMathematicsAIEEE2026
If non-zero numbers are in H.P., then the straight line always passes through a fixed point. That point is:
Q58mediummcqQuantitative AptitudeSSC CGL2026
Find equation of the perpendicular bisector of segment joining the points (2,−5) and (0,7)?
Q59mediummcqQuantitative AptitudeSSC CGL2026
The slopes of two lines are 1 and
3

​
. What is the angle between these two lines?
Q60mediummcqQuantitative AptitudeSSC CGL2026
A line passing through the origin perpendicularly cuts the line 3x−2y=6 at point M. Find the coordinates of point M.
Q61mediummcqMathematicsAIEEE2026
A circle touches the x-axis and also touches the circle with centre at and radius . The locus of the centre of the circle is:
Q62mediummcqQuantitative AptitudeSSC CGL2026
The line passing through (−2,5) and (6,b) is perpendicular to the line 20x+5y=3. Find b?
Q63mediummcqMathematicsAIEEE2026
The perpendicular bisector of the line segment joining and has -intercept . Then a possible value of is:
Q64mediummcqQuantitative AptitudeWBCS Prelims 20212026
State in which of the following quadrants the point lies.
Q65mediummcqQuantitative AptitudeCompetitive Exam Prep2026
Determine the quadrant in which the point lies.
Q66mediummcqMathematicsAIEEE2026
Let be the point and a point on the locus . The locus of midpoint of is:
Q67mediummcqMathematicsAIEEE2026
If a circle passes through the point and cuts the circle orthogonally, then the equation of the locus of its centre is:
Q68mediummcqMathematicsAIEEE2026
The point diametrically opposite to the point on the circle is:
Q69mediummcqQuantitative AptitudeSSC CGL2026
The equation of the line if its slope is −
7
3
​
and it passes through the point (5,−2) is:
Q70mediummcqGeneral Intelligence and ReasoningAUT-242026
Arun wants to go to Anu's home. Anu's home is North-West of Priya's home which is East of Tharun's home. Tharun's home is North-West of Arun's home. In which direction is Arun's home from Anu's home?
Q71mediummcqMathematicsAIEEE 20092026
The ellipse is inscribed in a rectangle aligned with the coordinate axes, which in turn in inscribed in another ellipse that passes through the point . Then the equation of the ellipse is:
Q72mediummcqQuantitative AptitudeSSC CGL2026
The line passing through (2,−1) and (y,−2) is parallel to the line passing through (−3,4) and (0,3). Find y.
Q73mediummcqMathematicsAIEEE 20092026
If and are the points of intersection of the circles and , then there is a circle passing through and for:
Q74mediummcqMathematicsAIEEE2026
Area of the greatest rectangle that can be inscribed in the ellipse is:
Q75mediummcqMathematicsAIEEE 20092026
Three distinct points and are given such that the ratio of the distance of any one of them from the point to the distance from the point is equal to . Then the circumcentre of the triangle is at the point:
Q76mediummcqMathematicsAIEEE-CBSE-ENG-032026
Locus of centroid of the triangle whose vertices are , and , where is a parameter, is:
Q77mediummcqMathematicsAIEEE 20092026
Let the line lies in the plane . Then equals:
Q78mediummcqQuantitative AptitudeSSC CGL2026
and are vertices of a rhombus . What is the equation of diagonal ?
Q79mediummcqMathematicsAIEEE2026
The locus of a point moving under the condition that the line is a tangent to the hyperbola is:
Q80mediummcqMathematicsFIITJEE AIEEE 2011 (Set Q)2026
The shortest distance between the line and the curve is:
Q81mediummcqQuantitative AptitudeCompetitive Exam2026
If , and are collinear then
Q82easymcqMathematicsAIEEE2026
If two tangents drawn from a point to the parabola are at right angles, then the locus of is:
Q83mediummcqMathematicsAIEEE2026
The normal to the curve , at any point is such that:
Q84mediummcqMathematicsAIEEE-CBSE-ENG-032026
If the pair of straight lines and be such that each pair bisects the angle between the other pair, then:
Q85mediummcqMathematicsAIEEE 20122026
If the line passes through the point which divides the line segment joining the points and in the ratio , then equals:
Q86mediummcqMathematicsAIEEE 20122026
The length of the diameter of the circle which touches the -axis at the point and passes through the point is:
Q87mediummcqMathematicsAIEEE-CBSE-ENG-032026
If and are both in G.P. with the same common ratio, then the points , and :
Q88mediummcqMathematicsAIEEE 20122026
A line is drawn through the point to meet the coordinate axes at and such that it forms a triangle , where is the origin. If the area of the triangle is least, then the slope of the line is:
Q89mediummcqMathematicsAIEEE2026
If a vertex of a triangle is and the mid-points of two sides through this vertex are and , then the centroid of the triangle is:
Q90mediummcqMathematicsJEE Main2026
A ray of light along gets reflected upon reaching -axis, the equation of the reflected rays is:
Q91mediummcqMathematicsJEE Main2026
Given: A circle, and a parabola, .Statement - I: An equation of a common tangent to these curves is .Statement - II: If the line () is their common tangent, then satisfies .
Q92mediummcqMathematicsAIEEE 20092026
The lines and are perpendicular to a common line for:
Q93mediummcqMathematicsJEE Main2026
Distance between two parallel planes and is:
Q94mediummcqMathematicsJEE Main2026
If the lines and are coplanar, then can have:
Q95mediummcqMathematicsAIEEE2026
If the circles and intersect in two distinct points and , then the line passes through and for:
Q96mediummcqMathematicsAIEEE-CBSE-ENG-032026
The normal at the point on a parabola meets the parabola again in the point , then:
Q97mediummcqMathematicsJEE Main2026
The circle passing through and touching the axis of at also passes through the point:
Q98mediummcqMathematicsJEE Main2026
The -coordinate of the incentre of the triangle that has the coordinates of mid points of its sides as , and is:
Q99easymcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2018
If centroid of the points , and is , then find the values of and .
Q100mediummcqMathematicsAIEEE 20042004
0% accuracy
A point on the parabola at which the ordinate increases at twice the rate of the abscissa is
12

Frequently Asked Questions

How many Coordinate Geometry questions are on ExamTest.live?▼
We have 107 Coordinate Geometry questions spread across 2 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Coordinate Geometry MCQs free?▼
Yes. All Coordinate Geometry questions, answers, and explanations on ExamTest.live are completely free. No account or subscription required.
Which exams include Coordinate Geometry questions?▼
Coordinate Geometry questions are commonly asked in Mathematics, Quantitative Aptitude, Mathematics and Science, General Intelligence and Reasoning, Quantitative Aptitude@NUM: 71. You can filter by exam using the links above.
How do I practice Coordinate Geometry questions effectively?▼
Start with easy questions to build confidence, then tackle medium and hard ones. Use the filter buttons to sort by difficulty. Reveal the answer only after attempting each question, and read the explanation thoroughly.