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Parabola Questions

Practice 12 Parabola questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

๐Ÿ“š
12
Total Questions
๐ŸŸข
1
Easy
๐ŸŸก
10
Medium
๐Ÿ”ด
1
Hard
Practice by Exam:Mathematics(12)

About Parabola โ€” practice questions, PYQs & concepts

Parabola is a frequently-tested topic on Mathematics. ExamTest.live currently lists 12 Parabola 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 โ€” every answer key is free, no sign-up required.

Parabola weight in competitive exams

Across our Parabola question bank, the largest sources are Mathematics (12). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 1 easy Parabola questions are available โ€” 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 โ€” the explanation often surfaces a faster approach you can reuse.

All Parabola Questions(1โ€“12 of 12)

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Q1mediummcqMathematicsMathematics Mock Test - 12026
9% accuracy
The area cut off the parabola by the straight line is:
Q2hardmcqMathematicsAIEEE 20042026
0% accuracy
If and the line passes through the points of intersection of the parabolas and then
Q3mediummcqMathematicsAIEEE 20072026
0% accuracy
The equation of a tangent to the parabola is . The point on this line from which the other tangent to the parabola is perpendicular to the given tangent is:
Q4mediummcqMathematicsMathematics Mock Test - 22026
0% accuracy
The area bounded by the curve , and the line is . Then is:
Q5mediummcqMathematicsAIEEE2026
Let be the point and a point on the locus . The locus of midpoint of is:
Q6mediummcqMathematicsAIEEE-CBSE-ENG-032026
The normal at the point on a parabola meets the parabola again in the point , then:
Q7mediummcqMathematicsAIEEE2026
A parabola has the origin as its focus and the line as the directrix. Then the vertex of the parabola is at:
Q8easymcqMathematicsAIEEE2026
If two tangents drawn from a point to the parabola are at right angles, then the locus of is:
Q9mediummcqMathematicsAIEEE 20122026
Statement 1: An equation of a common tangent to the parabola and the ellipse is .Statement 2: If the line is a common tangent to the parabola and the ellipse , then satisfies .
Q10mediummcqMathematicsAIEEE 20122026
The area bounded between the parabolas and , and the straight line is:
Q11mediummcqMathematicsMathematics Mock Test - 32026
Find the area of the parabola bounded by its latus rectum.
Q12mediummcqMathematicsAIEEE 20042004
0% accuracy
A point on the parabola at which the ordinate increases at twice the rate of the abscissa is

Frequently Asked Questions

How many Parabola questions are on ExamTest.live?โ–ผ
We have 12 Parabola questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Parabola MCQs free?โ–ผ
Yes. All Parabola questions, answers, and explanations on ExamTest.live are completely free. No account or subscription required.
Which exams include Parabola questions?โ–ผ
Parabola questions are commonly asked in Mathematics. You can filter by exam using the links above.
How do I practice Parabola questions effectively?โ–ผ
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.