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If A is a 3 × 3 invertible matrix, then ...

If A is a `3 × 3` invertible matrix, then what will be the value of k if `det(A^(–1)) = (det A)^k` .

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-XII Boards-All Questions
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  2. If A is a 3 × 3 invertible matrix, then what will be the value of k if...

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  3. Determine the value of the constant k, so that the function f(x) ={(kx...

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  4. Evaluate int2^3 3^x dx

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  8. Find (dy)/(dx) at x=1, y=pi/4 if sin^2 y+cos xy=k

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  9. The volume of a sphere is increasing at the rate of 3 cubic centimeter...

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  11. Find the vector equation of the line passing through the point A(1, 2,...

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  12. If A is a skew-symmetric matrix of order 3, then prove that det A = 0...

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  13. Prove that if E and F are independent events, then so are the events E...

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  14. A small firm manufactures necklaces and bracelets. The total number of...

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  17. Using properties of determinants, prove the following: |xx+y x+2y\...

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  18. Find the value of c in Rolle’s theorem for the function f(x) = x^3– 3...

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  19. Differentiate the function (sin x)^x+ sin^(-1) sqrtx with respect to...

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  20. The volume of a cube is increasing at the rate of 9cm3/sec. How fas...

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