The abscissa of the point of contact of tangent for which 1/a is greatest, is (A) 1/√3

Question

Let f(x) = 1/(1 + x²). Let m be the slope, a be the x-intercept and b be the y-intercept of a tangent to y = f(x), then

The abscissa of the point of contact of tangent for which 1/a is greatest, is

(A) 1/√3

(B) 1

(C) - 1

(D) - 1/√3

Answer 1

Answer is (A) 1/√3

Hence, its greatest value is 1/√3.