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 all possible permutations of the letters of the word ENDEANOEL. Match the Statements/Expressions in Column I with the Statements/Expressions in Column II.

	Column I		Column II
(A)	The number of permutations containing the word ENDEA is	(P)	5!
(B)	The number of permutations in which the letter E occurs in the first and the last position is	(Q)	2 $$\times$$ 5!
(C)	The number of permutations in which none of the letters D, L, N occurs in the last five positions is	(R)	7 $$\times$$ 5!
(D)	The number of permutations in which the letters A, E, O occur only in odd positions is	(S)	21 $$\times$$ 5!

(A) - p ; (B) - s; (C) - q ; (D) - q

(A) - q ; (B) - q ; (C) - s ; (D) - p

(A) - p ; (B) - s; (C) - p ; (D) - r

(A) - p ; (B) - r ; (C) - q ; (D) - p

IIT-JEE 2008 Paper 2 Offline

MCQ (Single Correct Answer)

-1

Let $$a,\,b,c$$, $$p,q$$ be real numbers. Suppose $$\alpha ,\,\beta $$ are the roots of the equation $${x^2} + 2px + q = 0$$ and $$\alpha ,{1 \over \beta }$$ are the roots of the equation $$a{x^2} + 2bx + c = 0,$$ where $${\beta ^2} \in \left\{ { - 1,\,0,\,1} \right\}$$

STATEMENT - 1 : $$\left( {{p^2} - q} \right)\left( {{b^2} - ac} \right) \ge 0$$

and STATEMENT - 2 : $$b \ne pa$$ or $$c \ne qa$$

STATEMENT - 1 is True, STATEMENT - 2 is True;
STATEMENT - 2 is a correct explanation for
STATEMENT - 1

STATEMENT - 1 is True, STATEMENT - 2 is True;
STATEMENT - 2 is NOT a correct explanation for
STATEMENT - 1

STATEMENT - 1 is True, STATEMENT - 2 is False

STATEMENT - 1 is False, STATEMENT - 2 is True

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

PREVIOUS NEXT