JEE Mathematics Parabola MCQs Set A, Multiple Choice Questions

Refer to JEE Mathematics Parabola MCQs Set A provided below available for download in Pdf. The MCQ Questions for Full Syllabus Mathematics with answers are aligned as per the latest syllabus and exam pattern suggested by JEE (Main), NCERT and KVS. Multiple Choice Questions for Parabola are an important part of exams for Full Syllabus Mathematics and if practiced properly can help you to improve your understanding and get higher marks. Refer to more Chapter-wise MCQs for JEE (Main) Full Syllabus Mathematics and also download more latest study material for all subjects

MCQ for Full Syllabus Mathematics Parabola

Full Syllabus Mathematics students should refer to the following multiple-choice questions with answers for Parabola in Full Syllabus.

Parabola MCQ Questions Full Syllabus 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 Full Syllabus

Expert teachers of studiestoday have referred to NCERT book for Full Syllabus Mathematics to develop the Mathematics Full Syllabus MCQs. If you download MCQs with answers for the above chapter you will get higher and better marks in Full Syllabus test and exams in the current year as you will be able to have stronger understanding of all concepts. Daily Multiple Choice Questions practice of Mathematics will help students to have stronger understanding of all concepts and also make them expert on all critical topics. After solving the questions given in the MCQs which have been developed as per latest books also refer to the NCERT solutions for Full Syllabus Mathematics. We have also provided lot of MCQ questions for Full Syllabus Mathematics so that you can solve questions relating to all topics given in each chapter. After solving these you should also refer to Full Syllabus Mathematics MCQ Test for the same chapter.

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