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Question: The tangent to the curve y = e<sup>2x</sup> at the point (0, 1) meets the x- axis at...

The tangent to the curve y = e2x at the point (0, 1) meets the x- axis at

A

(0, 0)

B

(2, 0)

C

(–1/2, 0)

D

None of these

Answer

(–1/2, 0)

Explanation

Solution

dydx\frac{dy}{dx} = 2e2x ; (dydx)0,1=2\left( \frac{dy}{dx} \right)_{0,1} = 2

equation of tangent y–1= 2x at x-axis

y = 0; x = –1/2