Conic Challenge #13

Geometry Level 2

Unit: Parabola

If parabolas x = y 2 + a y + b x= y^{2} + ay+b and x = y ( c − y ) x= y(c-y) touch each other at (0,1) then find the value of b + c b+c .

(Single digit integer type question).

Note: Easy?? Try this


The answer is 3.

Ninad Akolekar by Ninad Akolekar , 23, India

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1 solution

Anurag Singh
Jun 15, 2015

By substituting the points one gets the solution for c.....and one can differentiate the two equation and equate the slope at (0,1) to get the value of a and then value of b is a piece of cake! I hope that helps :)

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