Abscissa of the point of contact of the tangent for which m is greatest (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

Abscissa of the point of contact of the tangent for which m is greatest

(A) 1/√3

(B) 1

(C) - 1

(D) - 1/√3

Answer 1

Answer is (D) - 1/√3