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Equation of the common tangent to the parabolas :
y^2 = 4ax; x^2 = 4ay

2 Answers

262

Aditya Bhutra ·2012-02-04 09:06:14

general eqn of tangent for 1st - > y = mx+a/m

general eqn of tangent for 2nd - > x = ty+a/t

now for common tangent, the above two eqns. are identical .
compare and find m and t.

I am a bit confused about this problem. Could anyone give the complete solution. Thnxs in advance.

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