EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>AP EAPCET 2018 (25-APR Shift-1)>Q 9

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IMPORTANT

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Let $A, B$ and $C$ be three points in a plane. The locus of a point $P$ moving such that $P A^{2} + P B^{2} = 2 P C^{2}$ is a

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Important Questions on The Straight Line

EASY

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>AP EAPCET 2021 (19-Aug Afternoon)>Q 10

Given two fixed points

A (- 2, 1)

and

B (3, 0)

, find the locus of a point

P

which moves such that the angle

∠ A P B

is always a right angle.

EASY

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>AP EAPCET - 20 Aug 2021 Forenoon>Q 11

The locus of a point which is at a distance of

4

units from

(3, - 2)

in

x y

-plane is

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>AP EAPCET - 20 Aug 2021 Forenoon>Q 12

Let

C

be the circle with centre

(0, 0)

and radius

3 unit

. The equation of the locus of the mid points of the chords of the circle

C

that subtend an angle of

\frac{2 π}{3}

at its centre, is:

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>AP EAPCET - 20 Aug 2021 Afternoon>Q 13

A point moves so that the sum of its distances from

(a e, 0)

and

(- a e, 0)

is

2 a

, then the equaton to its locus where

b^{2} = a^{2} (1 - e^{2})

is

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>AP EAPCET 2020 (Sep-23 Shift-1)>Q 14

The tangent to the curve

y = e^{2 x}

at the point

(0, 1)

meets the

x

-axis at

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>AP EAPCET 2020 (Sep-23 Shift-1)>Q 15

The equation of the line passing through the point of intersection of lines

2 x - y + 2 = 0

and

x + y + 4 = 0

and the point

(5, - 2)

is

MEDIUM

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>AP EAPCET 2019 (21-Apr Shift-2)>Q 16

A straight line

4 x + y - 1 = 0

through the point

A (2, - 7)

meets the line

B C

whose equation is

3 x - 4 y + 1 = 0

at the point

B

. Then the equation of the line

A C

such that

A B = A C

, is

HARD

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>AP EAPCET 2019 (21-Apr Shift-2)>Q 17

In a

Δ A B C, 2 x + 3 y + 1 = 0, x + 2 y - 2 = 0

are the perpendicular bisectors of its sides

A B

and

A C

respectively and if

A = (3, 2),

then the equation of the side

B C

is