E M B I B E

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Parabola>AP EAPCET 2019 (21-Apr Shift-2)>Q 9

MEDIUM

AP EAPCET

IMPORTANT

Earn 100

The equation of the normal to the parabola $y^{2} = 4 x$ which is perpendicular to $x + 3 y + 1 = 0$ is

50% studentsanswered this correctly

Important Questions on Parabola

MEDIUM

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Parabola>AP EAPCET 2020 (Sep-23 Shift-1)>Q 1

The directrix of the parabola

2 y^{2} + 25 x = 0

is _________

MEDIUM

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Parabola>AP EAPCET - 20 Aug 2021 Afternoon>Q 2

The point of intersection of the latus rectum and axis of the parabola

y^{2} + 4 x + 2 y - 8 = 0

is

HARD

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Parabola>AP EAPCET 2018 (25-APR Shift-1)>Q 3

For the parabola

y^{2} + 6 y - 2 x + 5 = 0,

match the items in List-

I

with the suitable item in List-

II

given below:

List- $I$		List- $II$
$(I)$	Vertex	$(A)$	$(- \frac{3}{2}, - 3)$
$(II)$	Focus	$(B)$	$(\frac{3}{2}, - 3)$
$(III)$	Equation of the directrix	$(C)$	$2 x + 5 = 0$
$(IV)$	Equation of the axis	$(D)$	$2 x + y + 3 = 0$
		$(E)$	$y + 3 = 0$
		$(F)$	$(- 2, - 3)$

The correct matching is

EASY

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Parabola>AP EAPCET 2021 (19-Aug Forenoon)>Q 4

If one end of focal chord of the parabola

y^{2} = 8 x

is

(\frac{1}{2}, 2)

, then the length of the focal chord is____units

EASY

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Parabola>AP EAPCET 2021 (19-Aug Afternoon)>Q 5

Find the equation of the parabola which passes through

(6, - 2)

, has its vertex at the origin and its axis along the

y -

axis.

MEDIUM

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Parabola>AP EAPCET - 20 Aug 2021 Forenoon>Q 6

The coordinates of the focus of the parabola described parametrically by

x = 5 t^{2} + 2, y =

10 t + 4

(where

t

is a parameter) are

HARD

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Parabola>AP EAPCET 2020 (Sep-23 Shift-1)>Q 7

The angle between the tangents drawn from the point

(1, 4)

to the parabola

y^{2} = 4 x

is

HARD

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Parabola>AP EAPCET 2019 (21-Apr Shift-2)>Q 8

The normal at a point on the parabola

y^{2} = 4 x

passes through

(5, 0)

. If two more normals to this parabola also pass through

(5, 0),

then the centroid of the triangle formed by the feet of these three normals is

Learn and Prepare for any exam you want !

|

|

|

|

|

|

|

|

The equation of the normal to the parabola y2=4x which is perpendicular to x+3y+1=0 is

Important Questions on Parabola

Learn and Prepare for any exam you want !

The equation of the normal to the parabola $y^{2} = 4 x$ which is perpendicular to $x + 3 y + 1 = 0$ is