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Question

IF THE LINE 2bx + 3cy + 4d PASSES THROUGH THE INTERSECTION OF THE PARABOLAS y2=4ax AND x2=4ay THEN, FIND THE RELATION BETWEEN b,c, AND d
GIVEN a IS NOT EQUAL TO 0

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Solution

dear student

Points of intersection of given parabolas are (0, 0) and (4a, 4a) equation of line passing through these points is y = x On comparing this line with the given line 2bx + 3cy + 4d = 0, we get d = 0 and 2b + 3c = 0 (2b + 3c)2 + d2= 0.

regards

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