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Coordinate Geometry Questions

Practice 76 Coordinate Geometry questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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76
Total Questions
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1
Easy
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67
Medium
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8
Hard
Practice by Exam:Mathematics(75)General Intelligence and Reasoning(1)

About Coordinate Geometry — practice questions, PYQs & concepts

Coordinate Geometry is a frequently-tested topic on Mathematics, General Intelligence and Reasoning. ExamTest.live currently lists 76 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 (75) and General Intelligence and Reasoning (1). Click any exam chip above to drill down to that exam-specific question set.

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  • Start easy: 1 easy Coordinate Geometry questions are available — build fluency before moving up.
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All Coordinate Geometry Questions(1–76 of 76)

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Q1mediummcqMathematicsMathematics Mock Test - 62026
9% accuracy
Which of the following is the point of intersection of the line and the plane ?
Q2mediummcqMathematicsMathematics Mock Test - 62026
4% accuracy
The solution of linear inequalities and lies:
Q3mediummcqMathematicsMathematics Mock Test - 62026
4% accuracy
If the points , and are collinear, then find the value of .
Q4mediummcqMathematicsMathematics Mock Test - 62026
22% accuracy
What are the direction ratios of the normal to the plane ?
Q5mediummcqMathematicsMathematics Mock Test - 102026
18% accuracy
A unit vector is coplanar to the vectors and and perpendicular to the vector . It is:
Q6mediummcqMathematicsMathematics Mock Test - 102026
9% accuracy
The area in the first quadrant between and is:
Q7mediummcqMathematicsMathematics Mock Test - 12026
27% 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:
Q9mediummcqMathematicsAIEEE 20062026
0% accuracy
The locus of the vertices of the family of parabolas is:
Q10mediummcqMathematicsAIEEE 20062026
0% accuracy
If the lines and are two diameters of a circle of area square units, the equation of the circle is:
Q11hardmcqMathematicsAIEEE 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
Q12mediummcqMathematicsAIEEE 20062026
0% accuracy
Angle between the tangents to the curve at the points and is:
Q13mediummcqMathematicsAIEEE 20062026
0% accuracy
In an ellipse, the distance between its foci is and the minor axis is . Then its eccentricity is:
Q14hardmcqMathematicsAIEEE 20042026
0% accuracy
If the lines and lie along diameters of a circle of circumference then the equation of the circle is
Q15hardmcqMathematicsAIEEE 20042026
0% accuracy
The intercept on the line by the circle is Equation of the circle on as a diameter is
Q16mediummcqMathematicsAIEEE 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:
Q17hardmcqMathematicsAIEEE 20042026
0% accuracy
If and the line passes through the points of intersection of the parabolas and then
Q18mediummcqMathematicsAIEEE 20062026
0% accuracy
The two lines ; and are perpendicular to each other if:
Q19mediummcqMathematicsAIEEE 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:
Q20mediummcqMathematicsAIEEE 20062026
0% accuracy
The image of the point in the plane is:
Q21mediummcqMathematicsAIEEE 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:
Q22mediummcqMathematicsAIEEE 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:
Q23mediummcqMathematicsAIEEE 20072026
0% accuracy
Let , and be three points. The equation of the bisector of the angle is:
Q24mediummcqMathematicsAIEEE 20072026
0% accuracy
If one of the lines of is a bisector of the angle between the lines , then is:
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 20092026
If and are the points of intersection of the circles and , then there is a circle passing through and for:
Q28mediummcqMathematicsAIEEE 20092026
The lines and are perpendicular to a common line for:
Q29mediummcqMathematicsAIEEE 20092026
Let the line lies in the plane . Then equals:
Q30mediummcqGeneral 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?
Q31mediummcqMathematicsJEE 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 .
Q32mediummcqMathematicsAIEEE2026
Area of the greatest rectangle that can be inscribed in the ellipse is:
Q33mediummcqMathematicsMathematics Mock Test - 32026
If the curve passes through and the tangent to this curve at the origin is , then the possible values of are:
Q34mediummcqMathematicsMathematics Mock Test - 32026
The points and are collinear if the value of is:
Q35mediummcqMathematicsJEE Main2026
Distance between two parallel planes and is:
Q36mediummcqMathematicsJEE Main2026
If the lines and are coplanar, then can have:
Q37mediummcqMathematicsJEE Main2026
The -coordinate of the incentre of the triangle that has the coordinates of mid points of its sides as , and is:
Q38mediummcqMathematicsJEE Main2026
The equation of the circle passing through the foci of the ellipse , and having centre at is:
Q39mediummcqMathematicsJEE Main2026
A ray of light along gets reflected upon reaching -axis, the equation of the reflected rays is:
Q40mediummcqMathematicsAIEEE 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:
Q41mediummcqMathematicsJEE Main2026
The circle passing through and touching the axis of at also passes through the point:
Q42mediummcqMathematicsAIEEE 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:
Q43mediummcqMathematicsAIEEE 20122026
The length of the diameter of the circle which touches the -axis at the point and passes through the point is:
Q44mediummcqMathematicsAIEEE 20122026
If the line passes through the point which divides the line segment joining the points and in the ratio , then equals:
Q45easymcqMathematicsAIEEE2026
If two tangents drawn from a point to the parabola are at right angles, then the locus of is:
Q46mediummcqMathematicsFIITJEE AIEEE 2011 (Set Q)2026
The shortest distance between the line and the curve is:
Q47mediummcqMathematicsAIEEE 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:
Q48mediummcqMathematicsAIEEE-CBSE-ENG-032026
If the pair of straight lines and be such that each pair bisects the angle between the other pair, then:
Q49mediummcqMathematicsAIEEE2026
Let be the point and a point on the locus . The locus of midpoint of is:
Q50mediummcqMathematicsAIEEE2026
The normal to the curve , at any point is such that:
Q51mediummcqMathematicsAIEEE2026
The line parallel to the x-axis and passing through the intersection of the lines and , where is:
Q52mediummcqMathematicsAIEEE2026
The locus of a point moving under the condition that the line is a tangent to the hyperbola is:
Q53mediummcqMathematicsAIEEE2026
If non-zero numbers are in H.P., then the straight line always passes through a fixed point. That point is:
Q54mediummcqMathematicsAIEEE2026
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:
Q55mediummcqMathematicsAIEEE2026
If the circles and intersect in two distinct points and , then the line passes through and for:
Q56mediummcqMathematicsAIEEE2026
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:
Q57mediummcqMathematicsAIEEE2026
If a circle passes through the point and cuts the circle orthogonally, then the equation of the locus of its centre is:
Q58mediummcqMathematicsAIEEE2026
An ellipse has as semi minor axis, and its foci and the angle is a right angle. Then the eccentricity of the ellipse is:
Q59mediummcqMathematicsAIEEE2026
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:
Q60mediummcqMathematicsAIEEE-CBSE-ENG-032026
If and are both in G.P. with the same common ratio, then the points , and :
Q61mediummcqMathematicsAIEEE-CBSE-ENG-032026
If the equation of the locus of a point equidistant from the points and is , then the value of ' ' is:
Q62mediummcqMathematicsAIEEE-CBSE-ENG-032026
Locus of centroid of the triangle whose vertices are , and , where is a parameter, is:
Q63mediummcqMathematicsAIEEE2026
The perpendicular bisector of the line segment joining and has -intercept . Then a possible value of is:
Q64mediummcqMathematicsAIEEE-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:
Q65mediummcqMathematicsAIEEE-CBSE-ENG-032026
If the two circles and intersect in two distinct points, then:
Q66mediummcqMathematicsAIEEE-CBSE-ENG-032026
The lines and are diameters of a circle having area as 154 sq units. Then the equation of the circle is:
Q67mediummcqMathematicsAIEEE-CBSE-ENG-032026
The normal at the point on a parabola meets the parabola again in the point , then:
Q68mediummcqMathematicsAIEEE2026
The point diametrically opposite to the point on the circle is:
Q69mediummcqMathematicsAIEEE 20042004
0% accuracy
A point on the parabola at which the ordinate increases at twice the rate of the abscissa is
Q70mediummcqMathematicsAIEEE 20042004
0% accuracy
Let and be vertices of a triangle If the centroid of this triangle moves on the line then the locus of the vertex is the line
Q71mediummcqMathematicsAIEEE 20042004
0% accuracy
The equation of the straight line passing through the point and making intercepts on the co-ordinate axes whose sum is is
Q72hardmcqMathematicsAIEEE 20042004
0% accuracy
The normal to the curve at ' ' always passes through the fixed point
Q73mediummcqMathematicsAIEEE 20042004
0% accuracy
If one of the lines given by is then equals
Q74hardmcqMathematicsAIEEE 20042004
0% accuracy
A variable circle passes through the fixed point and touches -axis. The locus of the other end of the diameter through is
Q75hardmcqMathematicsAIEEE 20042004
0% accuracy
If a circle passes through the point and cuts the circle orthogonally, then the locus of its centre is
Q76hardmcqMathematicsAIEEE 20042004
0% accuracy
If the sum of the slopes of the lines given by is four times their product, then has the value

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We have 76 Coordinate Geometry questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
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Coordinate Geometry questions are commonly asked in Mathematics, General Intelligence and Reasoning. You can filter by exam using the links above.
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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.