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Evaluate: int0^pi(x dx)/(a^2cos^2\ \ x+b...

Evaluate: `int_0^pi(x dx)/(a^2cos^2\ \ x+b^2sin^2\ \ x)`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. A dealer wishes to purchase a number of fans and sewing machines. He h...

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  2. Find the area of the region included between the parabola y^2=x and...

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  3. Evaluate: int0^pi(x dx)/(a^2cos^2\ \ x+b^2sin^2\ \ x)

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  4. Coloured bills are distributed in three bags as shown in the follow...

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  5. Find the shortest distance between the following two lines: vec r=...

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  6. The scalar product of the vector hat i+\ hat j+\ hat k\ with the ...

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  7. Find the equation of the plane determined by the points (A(3,-1,\ 2...

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  8. Evaluate: int0^pi(xtanx)/(secx+tanx)\ dxdot

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  9. Find the equation of line through the intersection of lines 3x+4y=7 an...

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  10. Differentiate the following with respect to x : x^(sinx)+(sinx)^(cosx)

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

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

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

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

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

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

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

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

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

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

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