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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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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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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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>AP EAPCET - 20 Aug 2021 Forenoon>Q 22

A line has slope

m

and

y

-intercept 4. The distance between the origin and the line is equal to

EASY

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>AP EAPCET 2021 (19-Aug Afternoon)>Q 29

The ratio in which the straight line

3 x + 4 y = 6

divides the join of the points

(2, - 1)

and

(1, 1)

is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>AP EAPCET - 20 Aug 2021 Forenoon>Q 31

In a

∆ A B C

, medians,

A D

and

B E

are drawn. If

A D = 4

,

∠ D A B = \frac{π}{6} a n d ∠ A B E = \frac{π}{3}

, then the area of the

∆ A B C

is

HARD

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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 33

The distance of the point

(1, 2)

from the line

x + y + 5 = 0

measured along the line parallel to

3 x - y = 7

is equal to

HARD

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>AP EAPCET 2018 (25-APR Shift-1)>Q 39

If

a d - b c \neq 0,

then the area (in sq. units) of the parallelogram formed by the lines

a x + b y + 2 = 0, a x + b y + 5 = 0, c x + d y + 3 = 0

and

c x + d y + 7 = 0

is