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Using properties of determinants, prove that `|(a^2+2a, 2a+1,1), (2a+1, a+2, 1), (3,3,1)| = (a-1)^3`

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XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. Using properties of determinants, prove that |(a^2+2a, 2a+1,1), (2a+1,...

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  2. Find the area bounded by the circle x^2 + y^2 = 16 and the line sqrt3y...

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  3. Using properties of determinants, prove that |(a^2+2a, 2a+1,1), (2a+1,...

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  4. Find the area bounded by the circle x^2 + y^2 = 16 and the line sqrt3y...

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  5. Find the vector equation of line passing through the point (1,2,-4)...

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  6. If |A| = 3 and A^-1 = [(3 -1), (-5/3 2/3)] then write the adj A.

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  7. For what value of k is the function f(x) = { k|x|/x, x<0; 3, x>=0 con...

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  8. Use product [1-1 2 0 2-3 3-2 4][-2 0 1 9 2-3 6 1-2] to solve the sy...

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  9. Show that the function f given by f(x)=tan^(-1)(sinx+cosx), x" ">" "0 ...

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  10. Find the matrix X so that X[[1, 2, 3],[ 4 ,5, 6]]= [[-7,-8,-9],[2,4,6]...

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  11. If y=e^"tan"^((-1)"x"), prove that (1+x^2)y2+(2x-1)y1=0.

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  12. Find int2x sin (3x + 1) dx

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  13. Find the image of the point having position vector hat i+3 hat j+4 ha...

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  14. Given A=((2,-3),(-4,7)) compute A^(-1) and show that 2A^(-1)=9I-A

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  15. Differentiate tan^(-1)((1+cosx)/sinx) with respect to x

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  16. Find the value of tan^(-1) sqrt3 - cot^(-1) (-sqrt3)

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  17. The total cost C(x) in Rupees, associated with the production of x ...

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  18. Integrate the functions (cos2x+2sin^2x)/(cos^2x)

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  19. Find the differential equation representing the family of curves y=ae^...

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  20. If the matrix A = [[0,a,-3],[2,0,-1],[b,1,0]] is skew symmetric, find ...

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