In a , and . The area of the triangle is maximum when…

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

In a

\triangle ABC

\angle B=90^\circ

and

b+a=4

. The area of the triangle is maximum when

\angle C

is (a)

\frac{\pi}{4}

(b)

\frac{\pi}{6}

(c)

\frac{\pi}{3}

(d) None of these