The coordinates of the point P on the graph of the function y =e-| x |, where area of triangle made by tangent and the coordinate axis has the greatest area, is -

Question

The coordinates of the point P on the graph of the function y =e-| x |, where area of triangle made by tangent and the coordinate axis has the greatest area, is - (A) (1, (1/e)) (B) (-1, (1/e)) (C) (e, e-e) (D) none

Tardigrade Admin · Accepted Answer

Correct answer is (a) (1, (1/e))Correct answer is (b) (-1, (1/e))

Q. The coordinates of the point $P$ on the graph of the function $y = e^{- ∣ x ∣}$ , where area of triangle made by tangent and the coordinate axis has the greatest area, is -

$(1, \frac{1}{e})$

$(- 1, \frac{1}{e})$

$(e, e^{- e})$

none

Correct answer is (a) $(1, \frac{1}{e})$ Correct answer is (b) $(- 1, \frac{1}{e})$

Q. The coordinates of the point P on the graph of the function y=e−∣x∣, where area of triangle made by tangent and the coordinate axis has the greatest area, is -

(1,e1​)

(−1,e1​)

(e,e−e)