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JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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Application +4 | -1
The equation of two straight lines through the point (x1,y1)\left(x_1, y_1\right) and perpendicular to the lines given by ax2+2hxy+by2=0,a x^2+2 h x y+b y^2=0, is
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Correct option: A
b(x−x1)2−2h(x−x1)(y−y1)+a(y−y1)2=0b\left(x-x_1\right)^2-2 h\left(x-x_1\right)\left(y-y_1\right)+a\left(y-y_1\right)^2=0
Option A (b(x−x1)2−2h(x−x1)(y−y1)+a(y−y1)2=0b(x-x_1)^2-2 h(x-x_1)(y-y_1)+a(y-y_1)^2=0) is correct because it represents the equation of lines perpendicular to the given lines, shifted to pass through the point (x1, y1).

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