MEDIUM

TS EAMCET

IMPORTANT

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If $P^{'} (a, b)$ is the image of the point $P (- 1, 2)$ with respect to the line $x - 2 y + 3 = 0,$ then the length of the perpendicular from $P^{'}$ on to the line $2 x + y - 7 = 0$ is

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Important Questions on The Straight Line

EASY

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>TS EAMCET - 5 August 2021 Shift 1>Q 23

If the portion of a straight line intercepted between the coordinate axes is divided by the point

(2, 3)

in the ratio

2 : 3

then the product of the intercepts made by this line on the axes is

EASY

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>TS EAMCET - 5 August 2021 Shift 2>Q 24

A straight line passing through origin

O

intersects the lines

10 x - 8 y - 10 = 0

and

\frac{x}{4} - \frac{y}{5} + 1 = 0

at right angles and at the points

P

and

Q

respectively. Then the ratio in which

O

divides the line segment

P Q

MEDIUM

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>TS EAMCET 2018 (04-May Shift-1)>Q 25

The incentre of the triangle formed by the straight line having

3

X

-intercept and

4

Y

-intercept, together with the coordinate axes, is

HARD

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>TS EAMCET 2019 (03-May Shift-2)>Q 26

The distance (in units) between the circumcentre and the centroid of the triangle formed by the vertices $(1, 2), (3, - 1)$ and $(4, 0),$ is

EASY

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>TS EAMCET - 5 August 2021 Shift 2>Q 28

If the sides of a triangle are

3, 4

and

5

then the circumradius of the triangle is

EASY

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>TS EAMCET - 5 August 2021 Shift 2>Q 29

A (1, 0), B (0, 2)

and

C (1, 2)

are three points on

X Y

-plane. If a point

P (x, y)

which moves such that the area of triangle

P A B

is twice the area of the triangle

A B C,

then the locus of the point

P

HARD

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>TS EAMCET 2020 (9-Sep Shift-1)>Q 30

O (0, 0), A (- 3, - 1)

and

B (- 1, - 3)

are the vertices of a

Δ O A B

P

is a point on the perpendicular

A D

drawn from

A

O B

such that

\frac{A P}{P D} = \frac{3}{4} .

Then the equation of the line

L

parallel to

O B

and passing through

P

, is

EASY

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>TS EAMCET 2021 (04-Aug Shift-1)>Q 32

If the tangent at a point

P

on the curve

y = 4 x^{4} + x

is perpendicular to the tangent to the same curve at

(0, 0),

then the point

P

If P'(a, b) is the image of the point P(-1, 2) with respect to the line x-2y+3=0, then the length of the perpendicular from P' on to the line 2x+y-7=0 is

Important Questions on The Straight Line

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If $P^{'} (a, b)$ is the image of the point $P (- 1, 2)$ with respect to the line $x - 2 y + 3 = 0,$ then the length of the perpendicular from $P^{'}$ on to the line $2 x + y - 7 = 0$ is