1
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) | Root(s) of the expression $$2{\sin ^2}\theta + {\sin ^2}2\theta = 2$$ | (P) | $${\pi \over 6}$$ |
(B) | Points of discontinuity of the function $$f(x) = \left[ {{{6x} \over \pi }} \right]\cos \left[ {{{3x} \over \pi }} \right]$$, where $$[y]$$ denotes the largest integer less than or equal to y | (Q) | $${\pi \over 4}$$ |
(C) | Volume of the parallelopiped with its edges represented by the vectors $$\widehat i + \widehat j + \widehat i + 2\widehat j$$ and $$\widehat i + \widehat j + \pi \widehat k$$ | (R) | $${\pi \over 3}$$ |
(D) | Angle between vectors $$\overrightarrow a $$ and $$\overrightarrow b $$ where $$\overrightarrow a $$, $$\overrightarrow b $$ and $$\overrightarrow c $$ are unit vectors satisfying $$\overrightarrow a + \overrightarrow b + \sqrt 3 \overrightarrow c = \overrightarrow 0 $$ | (S) | $${\pi \over 2}$$ |
(T) | $$\pi $$ |
2
IIT-JEE 2009 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1
A line with positive direction cosines passes through the point P(2, $$-$$1, 2) and makes equal angles with the coordinate axes. The line meets the plane $$2x + y + z = 9$$ at point Q. The length of the line segment PQ equals
3
IIT-JEE 2009 Paper 2 Offline
Numerical
+3
-1
Let $$f:R \to R$$ be a continuous function which satisfies $$f(x) = \int\limits_0^x {f(t)dt} $$. Then, the value of $$f(\ln 5)$$ is ____________.
Your input ____
4
IIT-JEE 2009 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-2
If $${I_n} = \int\limits_{ - \pi }^\pi {{{\sin nx} \over {(1 + {\pi ^x})\sin x}}dx,n = 0,1,2,} $$ .... then
Paper analysis
Total Questions
Chemistry
19
Mathematics
19
Physics
19
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