JEE Mathematics Parabola MCQs Set 05

Practice MCQs for JEE Mathematics Parabola

Access targeted multiple-choice questions for Parabola designed to align with the latest JEE academic syllabus for JEE Mathematics. These objective practice sets help students evaluate their conceptual understanding and improve exam readiness.

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Access the complete set of multiple-choice questions for Parabola below. This focused format allows students to isolate specific topics for thorough review and uninterrupted practice alongside official JEE textbooks.

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
(C) 2x – 3y – 36 = 0 (D) 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)
(C) (0, 0) (D) none
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
(C) ab < –1 (D) none of these
JEE Mathematics Parabola MCQs Set A-12
JEE Mathematics Parabola MCQs Set A-13
 
 
ANSWERS
 
JEE Mathematics Parabola MCQs Set A-Ansss
 
 
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
(C) x + y + 5 = 0 (D) x – 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
(C) k > 3/2 (D) k > 3
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
(C) 5/ 2 (D) none of these
4. If the parabola y = f (x), having axis parallel to y-axis, touches the line y = x at (1, 1) then;
 
JEE Mathematics Parabola MCQs Set A-14
JEE Mathematics Parabola MCQs Set A-15
JEE Mathematics Parabola MCQs Set A-16
JEE Mathematics Parabola MCQs Set A-17
 
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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Parabola Objective Questions & Solutions for JEE Mathematics

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FAQs

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

Yes, our JEE Mathematics Parabola MCQs Set 05 include the latest type of questions, such as Assertion-Reasoning and Case-based MCQs. 50% of the JEE paper is now competency-based.

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