JEE Mathematics Parabola MCQs Set A with Answers

Practice JEE Mathematics Parabola MCQs Set A provided below. The MCQ Questions for Full Syllabus Parabola Mathematics with answers and follow the latest JEE (Main)/ NCERT and KVS patterns. 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 review the 50 questions and answers to strengthen understanding of core concepts in Parabola

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

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