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Write the value of the following determi...

Write the value of the following determinant `|(a-b,b-c,c-a),(b-c,c-a,a-b),(c-a,a-b,b-c)|`

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To find the value of the determinant \[ D = \begin{vmatrix} a-b & b-c & c-a \\ b-c & c-a & a-b \\ c-a & a-b & b-c \end{vmatrix} ...
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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Let* be a binary operation on N given by a*b = HCF(a ,\ b)\ a ,\ b\...

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  2. Find the value of x, If [[3x+y,-y],[2y-x,3]]=[[1,2],[-5,3]]

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  3. Write the value of the following determinant |(a-b,b-c,c-a),(b-c,c-a,a...

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  4. Find the value of x, from the following: |(x,4),(2,2x)|=0

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  5. Evaluate: int(cossqrt(x))/(sqrt(x))\ dx

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  6. Write the principal value of, cos^(-1)\ (cos(7pi)/6)

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  7. A card from a pack of 52 cards is lost. From the remaining cards of...

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  8. From a lot of 10 bulbs, which includes 3 defectives, a sample of 2 ...

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  9. Solve the following differential equation: (x^3+y^3)dy-x^2y dx=0

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  10. Evaluate: inte^(2x)sinx\ dx

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  11. Evaluate: int(3x+5)/sqrt(x^2-8x+7)\ dx

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  12. Find the distance of the plane 3x- 4y+12 z=3 from the origin.

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  13. Using properties of determinants, show that |(b+c,a,a),(b,c+a,b),(c,c,...

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  14. If x=a(cos t+t sin t) and y=a(sin t - t cos t),=0

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  15. A ladder 5 m long is leaning against a wall. The bottom of the ladd...

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  16. Solve the following differential equation: (1+x^2)dy+2x y\ dx=cotx\ ...

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  17. Show that the relation R in the set of real numbers, defined as R="...

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  18. Express the following matrix as the sum of a symmetric and skew symmet...

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  19. Show that the relation S in the set A={x\ \ Z\ :0\ lt=x\ lt=12} given ...

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  20. A family has 2 children. Find the probability that both are boys, i...

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