The equation of the lines represented by 4 x 2-24 xy -11 y 2-0 is-are A- 2 x-y-0B- 2 x -11 y -0C- x-y-0 D- y-2 x-0

Name: JEE- Grade 11- Mathematics- Parabola- Session 01- W17
Uploaded: 2022-07-04T10:36:42+05:30
Description: The correct options are A 2x+y=0 B 2x+11y=0Factorising 4x^2+2xy+22xy+11y^2=0 ⇒ 2x(2x+y)+11y(2x+y)=0 ⇒ (2x+11y)(2x+y)=0 ...

The correct options are A 2x+y=0 B 2x+11y=0Factorising 4x^2+2xy+22xy+11y^2=0 ⇒ 2x(2x+y)+11y(2x+y)=0 ⇒ (2x+11y)(2x+y)=0 ...

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Byju's Answer

Standard XII

Mathematics

Homogenization

The equation ...

Question

The equation of the lines represented by $4 x^{2} + 24 x y + 11 y^{2} = 0$ is/are

2 x + y = 0

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2 x + 11 y = 0

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x - y = 0

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y - 2 x = 0

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Solution

The correct options are
A $2 x + y = 0$
B $2 x + 11 y = 0$
Factorising $4 x^{2} + 2 x y + 22 x y + 11 y^{2} = 0$
$\Rightarrow 2 x (2 x + y) + 11 y (2 x + y) = 0$
$\Rightarrow (2 x + 11 y) (2 x + y) = 0$

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Homogenization

Standard XII Mathematics

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The equation of the lines represented by 4x2+24xy+11y2=0 is/are

The correct options are A 2x+y=0 B 2x+11y=0Factorising 4x2+2xy+22xy+11y2=0 ⇒2x(2x+y)+11y(2x+y)=0 ⇒(2x+11y)(2x+y)=0

The equation of the lines represented by $4 x^{2} + 24 x y + 11 y^{2} = 0$ is/are

The correct options are
A $2 x + y = 0$
B $2 x + 11 y = 0$
Factorising $4 x^{2} + 2 x y + 22 x y + 11 y^{2} = 0$
$\Rightarrow 2 x (2 x + y) + 11 y (2 x + y) = 0$
$\Rightarrow (2 x + 11 y) (2 x + y) = 0$