1
JEE Advanced 2017 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-0
Let O be the origin and $$\overrightarrow{OX}$$, $$\overrightarrow{OY}$$, $$\overrightarrow{OZ}$$ be three unit vectors in the directions of the sides $$\overrightarrow{QR}$$, $$\overrightarrow{RP}$$, $$\overrightarrow{PQ}$$ respectively, of a triangle PQR.
|$$\overrightarrow{OX}$$ $$ \times $$ $$\overrightarrow{OY}$$| = ?
A
sin(P + Q)
B
sin(P + R)
C
sin(Q + R)
D
sin2R
2
JEE Advanced 2017 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-0
Let p, q be integers and let $$\alpha $$, $$\beta $$ be the roots of the equation, x2 $$-$$ x $$-$$ 1 = 0 where $$\alpha $$ $$ \ne $$ $$\beta $$. For n = 0, 1, 2, ........, let an = p$$\alpha $$n + q$$\beta $$n.

FACT : If a and b are rational numbers and a + b$$\sqrt 5 $$ = 0, then a = 0 = b.
a12 = ?
A
a11 + 2a10
B
2a11 + a10
C
a11 $$-$$ a10
D
a11 + a10
3
JEE Advanced 2017 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-0
Let p, q be integers and let $$\alpha $$, $$\beta $$ be the roots of the equation, x2 $$-$$ x $$-$$ 1 = 0 where $$\alpha $$ $$ \ne $$ $$\beta $$. For n = 0, 1, 2, ........, let an = p$$\alpha $$n + q$$\beta $$n.

FACT : If a and b are rational numbers and a + b$$\sqrt 5 $$ = 0, then a = 0 = b.
If a4 = 28, then p + 2q =
A
14
B
7
C
21
D
12
4
JEE Advanced 2017 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-0.75
Consider an expanding sphere of instantaneous radius R whose total mass remains constant. The expansion is such that the instantaneous density $$\rho $$ remains uniform throughout the volume. The rate of fractional change in density $$\left( {{1 \over \rho } {{d\rho } \over {dt}}} \right)$$ is constant. The velocity $$v$$ of any point on the surface of the expanding sphere is proportional to $${R^{2/3}}$$
A
$$R$$
B
$${R^3}$$
C
$${1 \over R}$$
D
$${R^{2/3}}$$
JEE Advanced Papers
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12