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If ` vec a` is a unit vector and `( vec x- vec a)dot( vec x+ vec a)=24` , then write the value of `| vec x|`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Differentiate the following with respect to x : x^(sinx)+(sinx)^(cosx)

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  2. Write the differential equation formed from the equation y=m x+c , ...

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  3. If vec a is a unit vector and ( vec x- vec a)dot( vec x+ vec a)=24 , ...

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  4. If A is a square matrix and |A| =2, then write the value of |A A '|,...

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  5. If A=|[3, 10],[ 2, 7]|, then write A^(-1)

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  6. Write the value of sin(2sin^(-1)(3/5)) .

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  7. If A is a 3xx3 matrix, whose elements are given by a(i j)=1/3|-3i+j...

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  8. Write the principal value of tan^(-1)(tan((9pi)/8))

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  9. For any three vectors vec a ,\ vec b and vec c , write the value...

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  10. Evaluate: int(x^2-3x)/((x-1)(x-2))dx

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  11. Evaluate: intsinxdot\ sin2x\ dotsin3x\ \ dxdot

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  12. A binary operation * on the set {0,1,2,3,4,5} is defined as: a*b={a...

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  13. Let f: R rarr R be defined as f(x)=10 x+7. Find the function g: R ra...

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  14. Solve the equation tan^(-1)((1-x)/(1+x))=1/2tan^(-1)x ,(x >0)

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  15. Prove the following: (9pi)/8-9/4sin^(-1)(1/3)=9/4sin^(-1)((2\ sqrt(2)...

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  16. Evaluate: int(x^2)/((x^2+4)\ (x^2+9))dx

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  17. If tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=pi/4, then find the val...

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  18. If y=cot^(-1)(sqrt(cos"x"))-tan^(-1)(sqrt(cos"x")), prove that siny=ta...

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  19. Find the image of the point having position vector hat i+2 hat j+4 ha...

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  20. Find the equation of a plane which is at a distance of 3\ sqrt(3) unit...

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