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Most Important Selected Qs for JEE AdvancedMathematicsStraight Lines

If the straight lines joining the origin and the points of intersection of the curve 5 x^2+12 x y-6 y^2+4 x-2 y+3=0 and x+k y-1=0 are equally inclined to the x -axis, then find the value of | k | .

Correct answer

01

Step-by-step solution

Homogenize 5 x^2+12 x y-6 y^2+4 x-2 y+3=0 by x+k y=15 x^2+12 x y-6 y^2+4 x(x+k y)-2 y(x+k y)+3(x+k y)^2=0 it is equally indined with x -axes hence coeff. x y=0 12+4 k-2+6 k=0 k=-1

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