1

IIT-JEE 2011 Paper 1 Offline

MCQ (Single Correct Answer)

+4

-1

Let $$\overrightarrow a = \widehat i + \widehat j + \widehat k,\,\overrightarrow b = \widehat i - \widehat j + \widehat k$$ and $$\overrightarrow c = \widehat i - \widehat j - \widehat k$$ be three vectors. A vector $$\overrightarrow v $$ in the plane of $$\overrightarrow a $$ and $$\overrightarrow b ,$$ whose projection on $$\overrightarrow c $$ is $${{1 \over {\sqrt 3 }}}$$ , is given by

2

IIT-JEE 2011 Paper 1 Offline

MCQ (More than One Correct Answer)

+4

-1

The vector (s) which is/are coplanar with vectors $${\widehat i + \widehat j + 2\widehat k}$$ and $${\widehat i + 2\widehat j + \widehat k,}$$ and perpendicular to the vector $${\widehat i + \widehat j + \widehat k}$$ is/are

3

IIT-JEE 2011 Paper 1 Offline

MCQ (Single Correct Answer)

+3

-1

Let $$P = \{ \theta :\sin \theta - \cos \theta = \sqrt 2 \cos \theta \} $$ and $$Q = \{ \theta :\sin \theta + \cos \theta = \sqrt 2 \sin \theta \} $$ be two sets. Then

4

IIT-JEE 2011 Paper 1 Offline

MCQ (More than One Correct Answer)

+4

-1

Let f : R $$\to$$ R be a function such that $$f(x + y) = f(x) + f(y),\,\forall x,y \in R$$. If f(x) is differentiable at x = 0, then

Paper analysis

Total Questions

Chemistry

15

Mathematics

23

Physics

23

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