IIT-JEE 2008 Paper 2 Offline | JEE Advanced Year Wise Previous Years Questions

IIT-JEE 2008 Paper 2 Offline

MCQ (Single Correct Answer)

-1

Consider three points $$P = ( - \sin (\beta - \alpha ), - cos\beta ),Q = (cos(\beta - \alpha ),\sin \beta )$$ and $$R = (\cos (\beta - \alpha + \theta ),\sin (\beta - \theta ))$$ where $$0 < \alpha ,\beta ,\theta < {\pi \over 4}$$. Then :

P lies on the line segment RQ

Q lies on the line segment PR

R lies on the line segment QP

P, Q, R are non-collinear

IIT-JEE 2008 Paper 2 Offline

MCQ (Single Correct Answer)

-1

An experiment has 10 equally likely outcomes. Let A and B be two non-empty events of the experiment. If A consists of 4 outcomes, the number of outcomes that B must have so that A and B are independent is :

2, 4 or 8

3, 6 or 9

4 or 8

5 or 10

IIT-JEE 2008 Paper 2 Offline

MCQ (Single Correct Answer)

-1

Consider the lines given by:

$${L_1}:x + 3y - 5 = 0$$

$${L_2}:3x - ky - 1 = 0$$

$${L_3}:5x + 2y - 12 = 0$$

Match the Statement/Expressions in Column I with the Statements/Expressions in Column II.

	Column I		Column II
(A)	L$$_1$$, L$$_2$$, L$$_3$$ are concurrent, if	(P)	$$K = - 9$$
(B)	One of L$$_1$$, L$$_2$$, L$$_3$$ is parallel to atleast one of the other two, if	(Q)	$$K = - {6 \over 5}$$
(C)	L$$_1$$, L$$_2$$, L$$_3$$ form a triangle, if	(R)	$$K = {5 \over 6}$$
(D)	L$$_1$$, L$$_2$$, L$$_3$$ do not form a triangle, if	(S)	$$K = 5$$

A - iv; B - ii; C - iii; D - i, ii

A - iv; B - i, ii; C - iii; D - i, ii, iv

A - iv; B - i; C - iii; D - i, ii

A - ii; B - i, iii; C - iii; D - i, ii, iv

IIT-JEE 2008 Paper 2 Offline

MCQ (Single Correct Answer)

-1

Match the Statements/Expressions in Column I with the Statements/Expressions in Column II.

	Column I		Column II
(A)	The minimum value of $${{{x^2} + 2x + 4} \over {x + 2}}$$ is	(P)	0
(B)	Let A and B be 3 $$\times$$ 3 matrices of real numbers, where A is symmetric, B is skew-symmetric and (A + B) (A $$-$$ B) = (A $$-$$ B) (A + B). If (AB)$$^t$$ = ($$-1$$)$$^k$$ AB, where (AB)$$^t$$ is the transpose of the matrix AB, then the possible values of k are	(Q)	1
(C)	Let $$a=\log_3\log_3 2$$. An integer k satisfying $$1 < {2^{( - k + 3 - a)}} < 2$$, must be less than	(R)	2
(D)	If $$\sin \theta = \cos \varphi $$, then the possible values of $${1 \over \pi }\left( {\theta + \varphi - {\pi \over 2}} \right)$$ are	(S)	3