If P Q be a double ordinate of the parabola, y 2 = - 4 x , where P lies in the second quadrant. If R divides P Q in the ratio 2 : 1 , then the locus of R is:

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Let P - t 2 , 2 t & Q - t 2 , - 2 t R divides in the ratio 2 : 1 - 2 t 2 - t 2 2 + 1 , - 4 t + 2 t 2 + 1 - t 2 , 2 3 t x = - t 2 y = - 2 3 t ∴ 9 y 2 = 4 t 2 ⇒ 9 y 2 = - 4 x

Mathematics - Parabola Question with Solution | TestHub

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