1
IIT-JEE 2009 Paper 2 Offline
Numerical
+3
-1
The total number of cyclic structural as well as stereoisomers possible for a compound with the molecular formula C$$_5$$H$$_{10}$$ is ____________.
Your input ____
2
IIT-JEE 2009 Paper 2 Offline
Numerical
+3
-1
Let $$\left( {x,\,y,\,z} \right)$$ be points with integer coordinates satisfying the system of homogeneous equation:
$$$\matrix{
{3x - y - z = 0} \cr
{ - 3x + z = 0} \cr
{ - 3x + 2y + z = 0} \cr
} $$$
Then the number of such points for which $$x^2 + {y^2} + {z^2} \le 100$$ is
Your input ____
3
IIT-JEE 2009 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-2
For $$0 < \theta < {\pi \over 2},$$ the solution (s) of
$$$\sum\limits_{m = 1}^6 {\cos ec\,\left( {\theta + {{\left( {m - 1} \right)\pi } \over 4}} \right)\,\cos ec\,\left( {\theta + {{m\pi } \over 4}} \right) = 4\sqrt 2 } $$$ is (are)
4
IIT-JEE 2009 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-0
Match the statements/expressions in Column I with the values given in Column II:
| Column I | Column II | ||
|---|---|---|---|
| (A) | The number of solutions of the equation $$x{e^{\sin x}} - \cos x = 0$$ in the interval $$\left( {0,{\pi \over 2}} \right)$$ | (P) | 1 |
| (B) | Value(s) of $$k$$ for which the planes $$kx + 4y + z = 0,4x + ky + 2z = 0$$ and $$2x + 2y + z = 0$$ intersect in a straight line | (Q) | 2 |
| (C) | Value(s) of $$k$$ for which $$|x - 1| + |x - 2| + |x + 1| + |x + 2| = 4k$$ has integer solution(s) | (R) | 3 |
| (D) | If $$y' = y + 1$$ and $$y(0) = 1$$ then value(s) of $$y(\ln 2)$$ | (S) | 4 |
| (T) | 5 |
Paper analysis
Total Questions
Chemistry
19
Mathematics
19
Physics
19
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