Parabola JEE Mathematics MCQs Set A with Answers

Practice JEE Mathematics Parabola MCQs Set A provided below. The MCQ Questions for JEE Parabola Mathematics with answers and follow the latest JEE (Main)/ NCERT and KVS patterns. Refer to more Chapter-wise MCQs for JEE (Main) JEE Mathematics and also download more latest study material for all subjects

MCQ for JEE Mathematics Parabola

JEE Mathematics students should review the 50 questions and answers to strengthen understanding of core concepts in Parabola

Parabola MCQ Questions JEE Mathematics with Answers

JEE Mathematics Parabola MCQs Set A-

JEE Mathematics Parabola MCQs Set A-1

JEE Mathematics Parabola MCQs Set A-2

JEE Mathematics Parabola MCQs Set A-3

JEE Mathematics Parabola MCQs Set A-4

JEE Mathematics Parabola MCQs Set A-5

JEE Mathematics Parabola MCQs Set A-6

JEE Mathematics Parabola MCQs Set A-7

JEE Mathematics Parabola MCQs Set A-8

JEE Mathematics Parabola MCQs Set A-9

JEE Mathematics Parabola MCQs Set A-Ans

JEE Mathematics Parabola MCQs Set A-10

JEE Mathematics Parabola MCQs Set A-11

10. The equation of the common tangent to the parabola y² = 32x and x² = 108y is

(A) x = 0 (B) 2x + 3y + 36 = 0

11. The locus of the middle points of the chords of the parabola y² = 4ax which subtend a right angle at the vertex is ……………………….

12. Three normals are drawn from a point (c, 0) to the parabola y² = x. One normal is always the x-axis. the value of c for which the other two normals are perpendicular to each other is ……………………………..

13. Three distinct normals are drawn from a point to a parabola. The ordinates of the foot of two normals are –1 and 3 on the parabola. The ordinate of the foot of third normal is…………………………………..

14. If two of the three feet of normals drawn from a point to the parabola y² = 4x be (1, 2) and (1, –2) then the third foot is

(A) (2, 2√2) (B) (2, –2√2)

15. Let y² = 4ax be a parabola and x² + y² + 2bx = 0 be a circle. Then condition on a and b so that parabola and circle touch each other externally is

(A) ab > 0 (B) ab < 0

ANSWERS

LEVEL-III

1. The circle drawn with variable chord x + ay – 5 = 0 (a being a parameter) of the parabola y² =20x as diameter will always touch the line

(A) x + 5 = 0 (B) y + 5 = 0

2. The set of points on the axis of the parabola 2((x –1)² + ( y –1)²) = (x + y)² ,from which 3 distinct normals can be drawn to the parabola, is the set of points (h, k) lying on the axis of the parabola such that

(A) h > 3 (B) h > 3/2

3. Radius of the circle passing through the origin and touching the parabola y² = 4x at (1, 2)

(A) 5/6 (B) 5 2 /6

4. If the parabola y = f (x), having axis parallel to y-axis, touches the line y = x at (1, 1) then;

ANSWERS

LEVEL −III

1. A

2. A, B, C, D

3. C

4. B

5. B

6. C

7. D

8. B

9. D

10. A

11. A

12. D

13. B

14. C

15. D

16. A

17. D

18. A

19. B

20. C

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MCQs for Parabola Mathematics JEE

Students can use these MCQs for Parabola to quickly test their knowledge of the chapter. These multiple-choice questions have been designed as per the latest syllabus for JEE Mathematics released by JEE (Main). Our expert teachers suggest that you should practice daily and solving these objective questions of Parabola to understand the important concepts and better marks in your school tests.

Parabola NCERT Based Objective Questions

Our expert teachers have designed these Mathematics MCQs based on the official NCERT book for JEE. We have identified all questions from the most important topics that are always asked in exams. After solving these, please compare your choices with our provided answers. For better understanding of Parabola, you should also refer to our NCERT solutions for JEE Mathematics created by our team.

Online Practice and Revision for Parabola Mathematics

To prepare for your exams you should also take the JEE Mathematics MCQ Test for this chapter on our website. This will help you improve your speed and accuracy and its also free for you. Regular revision of these Mathematics topics will make you an expert in all important chapters of your course.

Where can I access latest JEE Mathematics Parabola MCQs Set A?

You can get most exhaustive JEE Mathematics Parabola MCQs Set A for free on StudiesToday.com. These MCQs for JEE Mathematics are updated for the 2025-26 academic session as per JEE (Main) examination standards.

Are Assertion-Reasoning and Case-Study MCQs included in the Mathematics JEE material?

Yes, our JEE Mathematics Parabola MCQs Set A include the latest type of questions, such as Assertion-Reasoning and Case-based MCQs. 50% of the JEE (Main) paper is now competency-based.

How do practicing Mathematics MCQs help in scoring full marks in JEE exams?

By solving our JEE Mathematics Parabola MCQs Set A, JEE students can improve their accuracy and speed which is important as objective questions provide a chance to secure 100% marks in the Mathematics.

Do you provide answers and explanations for JEE Mathematics Parabola MCQs Set A?

Yes, Mathematics MCQs for JEE have answer key and brief explanations to help students understand logic behind the correct option as its important for 2026 competency-focused JEE (Main) exams.

Can I practice these Mathematics JEE MCQs online?

Yes, you can also access online interactive tests for JEE Mathematics Parabola MCQs Set A on StudiesToday.com as they provide instant answers and score to help you track your progress in Mathematics.