EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Parabola>TS EAMCET - 5 August 2021 Shift 2>Q 8

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IMPORTANT

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The equation of the directrix of the parabola $(2 x - 3 y - 5)^{2} = 20 (3 x + 2 y + 1)$ is

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Important Questions on Parabola

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Parabola>TS EAMCET 2018 (04-May Shift-1)>Q 11

If two tangents to the parabola

y^{2} = 8 x

meet the tangent at its vertex in

M

and

N

such that

M N = 4

, then the locus of the point of intersection of those two tangents is

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Parabola>TS EAMCET 2020 (9-Sep Shift-1)>Q 9

If

x - 2 y + k = 0

is a tangent to the parabola

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

then the slope of the tangent drawn at

(1, k)

on the given parabola is

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Parabola>TS EAMCET 2020 (9-Sep Shift-1)>Q 10

The number of points on the parabola

y^{2} = x

at which the slope of the normal drawn at the point is equal to the

x

-coordinate of that point is

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Parabola>TS EAMCET 2018 (04-May Shift-1)>Q 12

Three normals are drawn from the point

(c, 0)

to the curve

y^{2} = x

. If one of the normals is

X

-axis, then the value of

c

for which the other two normals are perpendicular to each other is

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Parabola>TS EAMCET 2019 (03-May Shift-2)>Q 13

Consider the curves $C_{1} : y^{2} = 4 x$ and $C_{2} : x^{2} + y^{2} - 6 x + 1 = 0$

Assertion $(A)$ : The common tangents to the curves $C_{1}$ and $C_{2}$ are orthogonal.

Reason $(R)$ : $x - y + 1 = 0$ and $x + y + 1 = 0$ are the common tangents to the curves $C_{1}$ and $C_{2}$

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Parabola>TS EAMCET 2020 (9-Sep Shift-1)>Q 14

Let

A (1, 2), B (4, - 4), C (2, 2 \sqrt{2})

be points on the parabola

y^{2} = 4 x .

If

α

and

β

respectively represent the area of

Δ A B C

and the area of the triangle formed by the tangents at

A, B, C

to the above parabola, then

α β =