EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Pair of Straight Lines>TS EAMCET - 5 August 2021 Shift 1>Q 10

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From the point $(3, - 4)$ perpendicular lines $L_{1}$ and $L_{2}$ are drawn on each of the lines $S \equiv 2 x^{2} + 3 x y - 2 y^{2} - 7 x + y + 3 = 0 .$ The area of the quadrilateral formed by the pair of lines $S = 0, L_{1}$ and $L_{2}$ is (in square units)

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Important Questions on Pair of Straight Lines

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Pair of Straight Lines>TS EAMCET - 5 August 2021 Shift 2>Q 11

Consider the lines

L_{1} \equiv 4 x + 5 y - 6 = 0, L_{2} \equiv 2 x + 3 y - 4 = 0, L_{3} \equiv 3 x - y + 2 = 0 .

If the line

L_{1} = 0

intersects the lines

L_{2} = 0

and

L_{3} = 0

at the points

A

and

B

respectively, then the combined equation of

O A

and

O B

is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Pair of Straight Lines>TS EAMCET 2021 (04-Aug Shift-2)>Q 12

The equation

3 a x^{2} - 16 x y - (a^{2} - 10) y^{2} = 0

represents

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Pair of Straight Lines>TS EAMCET 2021 (04-Aug Shift-2)>Q 13

The angle between the pair of straight lines

3 y^{2} - 8 x y - 3 x^{2} - 29 x + 3 y - 18 = 0

is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Pair of Straight Lines>TS EAMCET - 5 August 2021 Shift 1>Q 14

The line

\frac{x}{3} + \frac{y}{2} = 1

and a pair of lines both passing through origin forms an isosceles triangle. If this pair of lines are perpendicular, then the equation of the pair of straight lines is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Pair of Straight Lines>TS EAMCET - 5 August 2021 Shift 2>Q 15

If

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

represents a pair of lines, which of the following statements is true?