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Find the coordinates of the point, where...

Find the coordinates of the point, where the line `(x-2)/3=(y+1)/4=(z-2)/2` intersects the plane `x-y+z-5=0` . Also find the angle between the line and the plane.

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Prove that: d/(dx)[x/2\ sqrt(a^2-x^2)+(a^2)/2sin^(-1)(x/a)]=sqrt(a^2-...

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  2. Find the vector equation of the plane which contains the line of in...

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  3. Find the coordinates of the point, where the line (x-2)/3=(y+1)/4=(z-2...

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  7. Consider f: R rarr [-5,oo) given by f(x)=9x^2+6x-5 . Show that f is...

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  8. Evaluate: int(pi/6)^(pi/3)(dx)/(1+sqrt(tanx))

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  9. Find the vector equation of the line passing through the point (1,2...

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  10. Find the area of the region bounded by the parabola y=x^2 and y=|x| .

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  11. Find the particular solution of the differential equation(tan^(-1)y-x)...

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  12. Using elementary transformations, find the inverse of the matrix : [...

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  13. If vec a= hat a= hat i-\ hat j+7 hat k and vec b=5 hat j-\ hat j+l...

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  14. Use product [[1,-1, 2],[ 0, 2,-3],[ 3,-2, 4]] [[-2, 0, 1],[ 9, 2,-3],[...

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  15. Find the angle between the line (x+1)/2=(3y+5)/9=(3-z)/(-6) and the ...

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  16. Solve the following differential equation: cos^2x(dy)/(dx)+y=tanx

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  17. Solve the following differential equation: e^xtany\ dx+(1-e^x)sec^2y...

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  18. Find the value of a for which the function f defined by f9x)={asinpi/...

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  19. int2/((1-x)(1+x^2))dx

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  20. Consider the binary operation ** on the set {1, 2, 3, 4, 5} defined by...

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