1
JEE Advanced 2017 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1
The equation of the plane passing through the point (1, 1, 1) and perpendicular to the planes 2x + y $$-$$ 2z = 5 and 3x $$-$$ 6y $$-$$ 2z = 7 is
A
14x + 2y $$-$$ 15z = 1
B
$$-$$14x + 2y + 15z = 3
C
14x $$-$$ 2y + 15z = 27
D
14x + 2y + 15z = 31
2
JEE Advanced 2017 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-2
f : R $$ \to $$ R is a differentiable function such that f'(x) > 2f(x) for all x$$ \in $$R, and f(0) = 1 then
A
f(x) > e2x in (0, $$\infty $$)
B
f'(x) < e2x in (0, $$\infty $$)
C
f(x) is increasing in (0, $$\infty $$)
D
f(x) is decreasing in (0, $$\infty $$)
3
JEE Advanced 2017 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-2
If $$I = \sum\nolimits_{k = 1}^{98} {\int_k^{k + 1} {{{k + 1} \over {x(x + 1)}}} dx} $$, then
A
$$I > {\log _e}99$$
B
$$I < {\log _e}99$$
C
$$I < {{49} \over {50}}$$
D
$$I > {{49} \over {50}}$$
4
JEE Advanced 2017 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-2
If the line x = $$\alpha $$ divides the area of region R = {(x, y) $$ \in $$R2 : x3 $$ \le $$ y $$ \le $$ x, 0 $$ \le $$ x $$ \le $$ 1} into two equal parts, then
A
2$$\alpha $$4 $$-$$ 4$$\alpha $$2 + 1 =0
B
$$\alpha $$4 + 4$$\alpha $$2 $$-$$ 1 =0
C
$${1 \over 2} < \alpha < 1$$
D
0 < $$\alpha $$ $$ \le $$ $${1 \over 2}$$
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