The tangent to the curve y = b e^(-x/a) at the point where it crosses the y-axis makes an intercept on the x-axis equal...

Type: MCQ • Marks: 1

The tangent to the curve y = b e^(-x/a) at the point where it crosses the y-axis makes an intercept on the x-axis equal to:

A. b

B. ab

C. a / b

D. a

Explanation

Crosses y-axis at (0, b). dy/dx = -b/a e^(-x/a) = -b/a at x = 0. Tangent: y - b = -b/a (x - 0) => x-intercept is a.

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UP TGT Mathematics

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