1
JEE Main 2017 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
The area (in sq. units) of the region

$$\left\{ {\left( {x,y} \right):x \ge 0,x + y \le 3,{x^2} \le 4y\,and\,y \le 1 + \sqrt x } \right\}$$ is
A
$${3 \over 2}$$
B
$${7 \over 3}$$
C
$${5 \over 2}$$
D
$${59 \over 12}$$
2
JEE Main 2017 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
Let $${I_n} = \int {{{\tan }^n}x\,dx} ,\,\left( {n > 1} \right).$$

If $${I_4} + {I_6}$$ = $$a{\tan ^5}x + b{x^5} + C$$, where C is a constant of integration,

then the ordered pair $$\left( {a,b} \right)$$ is equal to
A
$$\left( {{1 \over 5},0} \right)$$
B
$$\left( {{1 \over 5}, - 1} \right)$$
C
$$\left( { - {1 \over 5},0} \right)$$
D
$$\left( { - {1 \over 5},1} \right)$$
3
JEE Main 2017 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
The integral $$\int\limits_{{\pi \over 4}}^{{{3\pi } \over 4}} {{{dx} \over {1 + \cos x}}} $$ is equal to
A
2
B
4
C
$$-$$ 1
D
$$-$$ 2
4
JEE Main 2017 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
Twenty meters of wire is available for fencing off a flower-bed in the form of a circular sector. Then the maximum area (in sq. m) of the flower-bed, is :
A
10
B
25
C
30
D
12.5
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