EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>TS EAMCET 2018 (04-May Shift-1)>Q 15

MEDIUM

TS EAMCET

IMPORTANT

Earn 100

The equation of the straight line in the normal form which is parallel to the lines $x + 2 y + 3 = 0$ and $x + 2 y + 8 = 0$ and dividing the distance between these two lines in the ratio $1 : 2$ internally is

50% studentsanswered this correctly

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 2019 (03-May Shift-2)>Q 16

If

x \cos α + y \sin α = p

is the normal form of the equation of a straight line

x + \sqrt{3} y + 4 = 0

and

a, b

are respectively

X, Y -

intercepts of this line, then

\sqrt{3} π b p - 3 a α =

MEDIUM

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>TS EAMCET 2019 (03-May Shift-2)>Q 17

If a straight line passes through the point

(- 5, 4)

and makes an intercept of length

\frac{2}{\sqrt{5}}

between the lines

x + 2 y + 1 = 0

and

x + 2 y - 1 = 0,

then the equation of that line 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 18

If the vertices of a triangle

A B C

are

A (1, 7), B (- 5, - 1)

and

C (7, 4),

then the equation of a bisector of

A B C

is

EASY

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>TS EAMCET 2021 (04-Aug Shift-2)>Q 19

For all

α, β \in R

and

α β > 0,

the line

α x + β y + \sqrt{α β} = 0

is such that it

MEDIUM

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>TS EAMCET 2020 (9-Sep Shift-1)>Q 20

If the family of straight lines

a x + b y + c = 0

, where

2 a + 3 b = 4 c

is concurrent at the point

P (l, m)

, then the foot of the perpendicular drawn from

P

to the line

x + y + 1 = 0

is

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 21

Let

a \neq 0, b \neq 0, c

be three real numbers and

L (p, q) = \frac{a p + b q + c}{\sqrt{a^{2} + b^{2}}}, \forall p, q \in R

. If

L (\frac{2}{3}, \frac{1}{3}) + L (\frac{1}{3}, \frac{2}{3}) + L (2, 2) = 0

, then the line

a x + b y + c = 0

always passes through the fixed point

MEDIUM

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>TS EAMCET 2021 (04-Aug Shift-1)>Q 22

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

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