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If one of the lines given by $2 c x^{2} + 2 x y - (c^{2} - 1) y^{2} = 0 is 2 x + 3 y = 0$ then the integral value of $c$ is

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Correct option is C

Let the slope of the other line be m then −23×m=2c−c2−1 and −23+m=−2−c2−1⇒−23+3cc2−1=2c2−1⇒2c2−9c+4=0

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If one of the lines given by 2cx2+2xy−c2−1y2=0 is 2x+3y=0 then the integral value of c is

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If one of the lines given by $2 c x^{2} + 2 x y - (c^{2} - 1) y^{2} = 0 is 2 x + 3 y = 0$ then the integral value of $c$ is