EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Parabola>SRMJEEE (UG) 2015>Q 5

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SRMJEE (UG)

IMPORTANT

Earn 100

The equation of common tangent to the parabola $y^{2} = 4 a x$ and $x^{2} = 4 a y$ is

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Important Questions on Parabola

EASY

SRMJEE (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Parabola>SRMJEEE (UG) 2016>Q 1

The two ends of a latus rectum of a parabola are

(5, 8)

and

(- 7, 8)

. Then its focus is

HARD

SRMJEE (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Parabola>SRMJEEE (UG) 2014>Q 2

Equation of the directrix of the parabola whose focus is

(0, 0)

and the tangent at the vertex is

x - y + 1 = 0

is

EASY

SRMJEE (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Parabola>SRMJEEE (UG) 2015>Q 3

The line

y = 4 x + c

touches the parabola

y^{2} = 4 x

, if

MEDIUM

SRMJEE (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Parabola>SRMJEEE (UG) 2014>Q 4

The slopes of the normals to the parabola

y^{2} = 4 a x

intersecting at a point on the axis of the parabola at a distance

4 a

from its vertex are in

MEDIUM

SRMJEE (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Parabola>SRMJEEE (UG) 2015>Q 5

The equation of common tangent to the parabola

y^{2} = 4 a x

and

x^{2} = 4 a y

is