# Solved papers for JEE Main & Advanced JEE Main Paper (Held On 10 April 2016)

### done JEE Main Paper (Held On 10 April 2016) Total Questions - 3

• question_answer1)           Let C be a curve given by$y(x)=1+\sqrt{4x-3},x>\frac{3}{4}$. If P is a point on C, such that the tangent at P has slope$\frac{2}{3}$, then a point through which the normal at P passes, is   JEE Main Online Paper (Held On 10 April 2016)

A)
(3, - 4)

B)
(1, 7)

C)
(4, - 3)

D)
(2, 3)

• question_answer2) If $A>0,\,B>0$and $B=\frac{\pi }{6}$, then the minimum value of tanA + tanB is   JEE Main Online Paper (Held On 10 April 2016)

A)
$2-\sqrt{3}$

B)
$\frac{2}{\sqrt{3}}$

C)
$\sqrt{3}-\sqrt{2}$

D)
$4-2\sqrt{3}$

• question_answer3) Let $f(x)={{\sin }^{4}}x+{{\cos }^{4}}x$. Then f is an increasing function in the interval   JEE Main Online Paper (Held On 10 April 2016)

A)
$\left] \frac{\pi }{4},\frac{\pi }{2} \right[$

B)
$\left] \frac{5\pi }{8},\frac{3\pi }{4} \right[$

C)
$\left] 0,\frac{\pi }{4} \right[$

D)
$\left] \frac{\pi }{2},\frac{5\pi }{8} \right[$