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Find the equation of the plane passing through the point `(-1,-1,2)` and perpendicular to each of the following planes: `2x+3y-3z=2\ ` and `5x-4y+z=6`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Evaluate: int(-a)^a\ sqrt((a-x)/(a+x))\ dx\ \

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  2. Find the equation of the plane passing through the point (3,4,1) an...

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  3. Find the equation of the plane passing through the point (-1,-1,2) ...

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  4. Find the shortest distance between the following lines: (x-3)/1=(y-5)/...

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  5. Find the point on the line (x+2)/3=(y+1\ )/2=(z-3\ )/2 at a distanc...

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  6. Evaluate : intsec^2(7-4x)dx

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  7. Write the adjoint of the following matrix: [[2,-1],[4,3]]

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  8. Write the value of the following integral: int(-pi/2)^(pi/2)sin^5x\ dx

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  9. A is a square matrix of order 3\ and |A|=7. Write the value of ...

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  10. If f\ : R-: R be defined by f(x)=(3-x^3)^(1//3)\ , then find fof(x)

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  11. Write the principal value of sec^(-1)(-2)

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  12. What positive value of x makes the following pair of determinants equa...

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  13. Write the distance of the following plane from the origin: 2x-y+2z...

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  14. Write a vector of magnitude 9 units in the direction of vector -2 h...

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  15. Evaluate : int(6x+7)/(sqrt((x-5)(x-4)))\ dx

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  16. Evaluate: intsinxsin2xsin3x dx

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  17. A tank with rectangular base and rectangular sides, open at the top...

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  18. Find the volume of the larges cylinder that can be inscribed in a s...

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  19. If [(2,3),(5,7)] [(1,-3),(-2,4)]=[(-4,6),(-9,x)], write the value of x

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  20. If y=e^a cos^((-1)x)\ ,\ -1\ lt=xlt=1, show that (1-x^2)(d^2y)/(dx^2)-...

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