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Determine the value of the constant k, s...

Determine the value of the constant `k`, so that the function f(x) ={`(kx)/|x|`, if `x lt 0` ,3 if `x ge 0` is continuous at `x=0`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-XII Boards-All Questions
  1. if for any 2*2 square matrix A , A(adjA)=[[8 , 0] , [0 , 8]] then writ...

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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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  5. If a line makes angle 90o , 60o and 30o with the positive direct...

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  6. Show that the elements on the main diagonal of a skew-symmetric matrix...

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  7. Find the distance between the parallel planes 2x-y+2z+3=0a n d4x-2y+4z...

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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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  10. Show that the functionf(x) = 4x^3-18x^2+ 27x – 7 is always increasing ...

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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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  15. int1/(x^2-4x+8)dx

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  16. Prove that tan(pi/4+1/2 cos^-1(a/b))+tan(pi/4-1/2 cos^-1(a/b))=(2b)/a

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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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