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Let I denote the 3xx3 identity matrix ...

Let I denote the `3xx3` identity matrix and P be a matrix obtained by rearranging the columns of I. Then

A

there are six distinct choices for P and det(P) = 1

B

there are six distinct choices for P and det(P) = `pm1`

C

there are more than one choices for P and some of them are not invertible

D

there are more than one choices for P and `P^(-1)` = I in each choice

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2014-MULTIPLE CHOICE QUESTIONS
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  2. The sum of the series sum(n=1)^(oo) sin((n !pi)/(720)) is

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  3. Let I denote the 3xx3 identity matrix and P be a matrix obtained by ...

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  4. The coefficient of x^(3) in the infinite series expansion of (2)/((1-x...

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  5. For every real number x, let f(x)=(x)/(1!)+(3)/(2!) x^(2)+(7)/(3!) x...

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  6. Let S denote the sum of the infinite series 1+(8)/(2!)+(21)/(3!) +(40...

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  7. Let [x] denote the greatest integer less than or equal to x for any re...

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  8. Suppose that f(x) is a differentiable function such that f'(x) is con...

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  9. Let z(1) be a fixed point on the circle of radius 1 centered at the o...

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  10. Suppose that z(1), z(2), z(3) are three vertices of an equilateral tr...

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  11. The curve y=(cosx+y)^(1//2) satisfies the differential equation

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  12. In the Argand plane, the distinct roots of 1+z+z^(3)+z^(4)=0(z is a co...

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  13. If A, B, C are the angles of a triangle then tan ((B+C)/2)=

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  14. Let alpha, beta be the roots of x^(2)-x-1=0 and S(n)=a^(n)+beta^(n), f...

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  15. A fair six-faced die is rolled 12 times. The probability that each fac...

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  16. If alpha, beta are the roots of the quadratic equation x^(2)+px+q=0, t...

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  17. The solution of the differential equation (dy)/(dx)+(y)/(x log(e )x)...

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  18. Let f(x) = max {x+|x|, x-[x]}, where [x] denotes the greatest integer ...

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  19. Let X(n)={z=x+iy:|z|^(2) le (1)/(n)} for all integers n ge 1. Then cap...

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  20. Applying Lagrange's Mean Value Theorem for a suitable function f(x) is...

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