Find value of tangent passes through the origin


Solve the below:

Differentiation

Q1. Show that if the tangent to y=ekx at (a, eka) passes through the origin then a=1/k.

Q2. Find the value of a and b so that the line 2x +3y = a is tangent to the graph of f(x)=bx2 at the point where x = 3.

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Mathematics: Find value of tangent passes through the origin
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