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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 BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise Section D|2 Videos

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Using properties of determinant, prove that |{:(a^(2)+2a, 2a+1, 1), (2a+1, a+2, 1), (3, 3, 1):}|=(a-1)^(3)

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-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. Show that the function f given by f(x)=tan^(-1)(sinx+cosx), x" ">" "0 ...

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

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

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  11. Find int e^(2x) sin (3x + 1) dx

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

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

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

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

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

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

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

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  19. If theta is the angle between two vectors hati-2hatj+3hatk and 3hati-2...

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  20. Find the magnitude of each of the two vectors veca and vec b having th...

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