1
JEE Advanced 2017 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1
Let S = {1, 2, 3, .........., 9}. For k = 1, 2, .........., 5, let Nk be the number of subsets of S, each containing five elements out of which exactly k are odd. Then N1 + N2 + N3 + N4 + N5 =
A
210
B
252
C
126
D
125
2
JEE Advanced 2017 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1
Let O be the origin and let PQR be an arbitrary triangle. The point S is such that

$$\overrightarrow{OP}$$ . $$\overrightarrow{OQ}$$ + $$\overrightarrow{OR}$$ . $$\overrightarrow{OS}$$ = $$\overrightarrow{OR}$$ . $$\overrightarrow{OP}$$ + $$\overrightarrow{OQ}$$ . $$\overrightarrow{OS}$$ = $$\overrightarrow{OQ}$$ . $$\overrightarrow{OR}$$ + $$\overrightarrow{OP}$$ . $$\overrightarrow{OS}$$

Then the triangle PQR has S as its
A
centroid
B
orthocentre
C
incentre
D
circumcentre
3
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
4
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, $$\infty $$)
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