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int(0)^(pi//2)(dx)/(a^(2)cos^(2)x + b^(2...

`int_(0)^(pi//2)(dx)/(a^(2)cos^(2)x + b^(2) sin^(2) x) =`

A

`2pi ab`

B

`pia^2b^2`

C

`pi/(a^2b^2)`

D

`pi/(2ab)`

Text Solution

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The correct Answer is:
D
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KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER - 7-MATHEMATICS
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  2. int0^(pi//2)(dx)/(1 + tanx)=

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  3. int(0)^(pi//2)(dx)/(a^(2)cos^(2)x + b^(2) sin^(2) x) =

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  4. int0^asqrt(a^2 -x^2)dx =

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  5. int(e^(sqrtx))/sqrtx dx=

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  6. The product of the perpendiculars from the foci on any tengent to the ...

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  7. P is any point on the ellipse 9x^2 + 36y^2 = 324 whose foci are S and ...

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  8. If the major axis of an ellipse is 3 times its minor axis its ecentric...

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  9. The length of the latus-rectumof the ellipse x^2/25+y^2/9 =1 is

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  10. If 2y = 5x + k is a tengent to the parabola y^2 = 6x then k =

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  11. The equation of the parabola with focus (2,0) and directirix x + 3 = 0...

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  12. The circumcircle of the triangle with vertices at (0,0), (a,0) and (0,...

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  13. For the circles x^2 + y^2 - 2x + 3y + k = 0 and x^2 + y^2 + 8x - 6y ...

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  14. The length of the tangent from the point (1,-4) to the circle 2x^2+2y^...

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  15. The angle between the pair of lines given by 3x^2 + 5xy - 2y^2 + x + 9...

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  16. The general value of theta which satisfies the equation (cos theta + i...

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  17. cos [ tan^(-1){sin (cot^(-1)x)}]=

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  18. The smallest integer n such that ((1 + i)/(1-i))^(n) = 1 is

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  19. (1 + i)^5 + (1 - i)^5 =

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  20. If cos^(-1) x = cot^(-1) ""4/3 + tan^(-1)""1/7, the x =

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