Question

The value of m for which the area of the triangle included between the axes and any tangent to the curve $x^{m}y=b^m$ is constant, is

• A. $\frac{1}{2}$
• B. $1$
• C. $\frac{3}{2}$
• D. $2$

Answer 1

The correct option is B $1$

$y=\sqrt{\left(\frac{1+cos2\theta }{1-cos2\theta }\right)}=|cot\theta |=-cot\theta (\theta =\frac{3\pi }{4})\therefore \frac{dy}{d\theta }=cose{c}^2\theta \frac{dy}{d\theta }{|}_{\theta =\frac{3\pi }{4}}=(\sqrt{2}{)}^2=2$