Area of the parallegram formed by the pair of lines 3x2+7xy+2y2=0 and the lines parallel to them. whose centre is (2, 3) is

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Area of the parallegram formed by the pair of lines $3 x^{2} + 7 x y + 2 y^{2} = 0$ and the lines parallel to them. whose centre is $(2, 3)$ is

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$\frac{288}{5}$

$\frac{168}{5}$

$\frac{120}{7}$

$\frac{288}{7}$

answer is A.

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Detailed Solution

$Req. area = \frac{|S_{11}|}{2 \sqrt{h^{2} - ab}} = \frac{288}{5}$

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