1

IIT-JEE 2008 Paper 2 Offline

MCQ (Single Correct Answer)

+3

-1

A particle P stats from the point $${z_0}$$ = 1 +2i, where $$i = \sqrt { - 1} $$. It moves horizontally away from origin by 5 unit and then vertically away from origin by 3 units to reach a point $${z_1}$$. From $${z_1}$$ the particle moves $$\sqrt 2 $$ units in the direction of the vector $$\hat i + \hat j$$ and then it moves through an angle $${\pi \over 2}$$ in anticlockwise direction on a circle with centre at origin, to reach a point $${z_2}$$. The point $${z_2}$$ is given by

2

IIT-JEE 2008 Paper 2 Offline

MCQ (Single Correct Answer)

+3

-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 $$c \ne qa$$

3

IIT-JEE 2008 Paper 2 Offline

MCQ (Single Correct Answer)

+4

-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! |

4

IIT-JEE 2008 Paper 2 Offline

MCQ (Single Correct Answer)

+3

-1

Suppose four distinct positive numbers $${a_1},\,{a_{2\,}},\,{a_3},\,{a_4}\,$$ are in G.P. Let $${b_1} = {a_1},{b_2} = {b_1} + {a_2},\,{b_3} = {b_2} + {a_{3\,\,}}\,\,\,and\,\,\,{b_4} = {b_3} + {a_4}$$.

** STATEMENT-1: ** The numbers $${b_1},\,{b_{2\,}},\,{b_3},\,{b_4}\,$$ are neither in A.P. nor in G.P. and

** STATEMENT-2 ** The numbers $${b_1},\,{b_{2\,}},\,{b_3},\,{b_4}\,$$ are in H.P.

Paper analysis

Total Questions

Chemistry

22

Mathematics

22

Physics

22

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