EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Pair of Straight Lines>MHT-CET 2020 (13-Oct Shift 1)>Q 2

HARD

MHT-CET

IMPORTANT

Earn 100

The joint equation of a pair of lines passing through the point of intersection of lines $2 x^{2} - x y - 15 y^{2} - 7 x + 32 y - 9 = 0$ and parallel to co-ordinate axes is

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Important Questions on Pair of Straight Lines

MEDIUM

MHT-CET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Pair of Straight Lines>MHT-CET 2020 (12-Oct Shift-1)>Q 3

If the equation

x^{2} - 3 x y + λ y^{2} + 3 x - 5 y + 2 = 0

represents a pair of lines, where

λ

is a real number and

θ

is an angle between them, then value of

cosec {}^{2}θ

is

EASY

MHT-CET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Pair of Straight Lines>MHT-CET 2018>Q 4

The point of intersection of lines represented by

x^{2} - y^{2} + x + 3 y - 2 = 0

is

EASY

MHT-CET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Pair of Straight Lines>MHT-CET 2018>Q 5

The line

5 x + y - 1 = 0

coincides with one of the lines given by

5 x^{2} + x y - k x - 2 y + 2 = 0

then the value of

k

is

EASY

MHT-CET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Pair of Straight Lines>MHT-CET 2020 (12-Oct Shift-1)>Q 6

The auxiliary equation of the lines passing through the origin and having slopes

\sqrt{3} + 1

and

\sqrt{3} - 1

is

MEDIUM

MHT-CET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Pair of Straight Lines>MHT-CET 2018>Q 7

If the slope of one of the lines given by

a x^{2} + 2 h x y + b y^{2} = 0

is two times the other then

MEDIUM

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Pair of Straight Lines>MHT-CET 2017>Q 8

If lines represented by equation

p x^{2} - q y^{2} = 0

are distinct then

MEDIUM

MHT-CET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Pair of Straight Lines>MHT-CET 2017>Q 9

If slopes of lines represented by

K x^{2} + 5 x y + y^{2} = 0

differ by

1

then

K =