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In the set of all 3xx3 real matrices a r...

In the set of all `3xx3` real matrices a relation is defined as follows. A matrix A. is related to matrix B if and only if there is a non - singular `3xx3` matrix P such that `B=P^(-1)AP`. This relation is

A

Reflexive, Symmetric but not Transitive

B

Reflexive, Transitive but not Symmetric

C

Symmetric, Transitive but not Reflexive

D

an Equivalence relation

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2013-MULTIPLE CHOICE QUESTIONS
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  2. Six positive numbers are in G.P., such that their product is 1000. If ...

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  3. In the set of all 3xx3 real matrices a relation is defined as follows....

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  4. The number of lines which pass through the point (2, -3) and are a dis...

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  5. If alpha, beta are the roots of the quadratic equation ax^(2)+bx+c=0 a...

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  6. For any two real numbers a and b, we define a R b if and only if sin^(...

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  7. Let n be a positive even integer. The ratio of the largest coefficient...

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  8. Let exp (x) denote the exponential function e^(x). If f(x)=exp(x^((1)/...

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  9. The sum of the series (1)/(1xx2)""^(25)C(0)+(1)/(2xx3)""^(25)C(1)+(1)...

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  10. Five numbers are in A.P, with common difference ne 0. If the 1^(st), 3...

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  11. The minimum value of the function f(x)=2|x-1|+|x-2| is

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  12. If P, Q, R are angles of an isoseles triangle and angle P = (pi)/(2), ...

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  13. A line passing through the point of intersection of x+y=4 and x-y=2 ma...

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  14. Let [a] denote the greatest integer which is less than or equal to a. ...

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  15. If P=((2,-2,-4),(-1.3,4),(1,-2,-3)), then P^(5) equals.

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  16. If sin^(2)theta+3cos theta=2, then cos^(3)theta + sec^(3)theta is

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  17. Let x=1+(1)/(2xx|ul(1))+(1)/(4xx|ul(2))+(1)/(8xx|ul(3))+……. and y=...

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  18. The value of the infinite series (1^(2)+2^(2))/(|ul(3))+(1^(2)+2^(2)+3...

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  19. The value of the integral int((pi)/(6))^((pi)/(3))((sin x-x cos x))/(x...

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  20. Let f(x)=x((1)/(x-1)+(1)/(x)+(1)/(x+1)), x gt 1. Then

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