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Find the angle between the line `vec r = (2 hat i-hat j +3 hat k)+ lambda (3 hat i-hat j+2 hat k )` and the plane `vec r.(hat i + hat j + hat k)=3`

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    XII BOARDS PREVIOUS YEAR|Exercise Section D 35 B|1 Videos

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Find the distance of the point (-1,-5,-10), from the point of intersection of the line vec r=(2hat i-hat j+2k)+lambda(3hat i+4hat j+2hat k) and the plane vec r.(hat i-hat j+hat k)=5

Find the distance of the point (-1,-5,-10) from the point of intersection of line vec r=2hat i-hat j+2hat k+lambda(3hat i+4hat j+2hat k) and the plane vec r*(hat i-hat j+hat k)=5

XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. Solve the following differential equation: (y+3x^2)(dx)/(dy)=x

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  2. Prove that sin^(-1)(4/5)+tan^(-1)(5/12)+cos^(-1)(63/65)=pi/2

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  3. Find the angle between the line vec r = (2 hat i-hat j +3 hat k)+ lamb...

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  4. Find the interval in which the function f given by f(x)=sin2x+cos2x, 0...

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  5. Using vectors, prove that the points (2,-1,3) ,(3,-5,1) and (-1,11,9) ...

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  6. Obtain the inverse of the following matrix, using elementary operation...

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  7. Using vectors, find the value of x such that the four points A(x,5,-1)...

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  8. For any two vectors vec a and vec b , prove that (vec a xx vec b )^2=...

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  9. Find the co-ordinates of the point, where the line ((x+2)/1)=((y-5)/3)...

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  10. Using matrices solve the following system of linear equations: {(2x+3y...

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  11. Find int ((x-1)/ ((x-2)(x-3))) dx

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  12. Differentiate tan^(-1)((3x-x^3)/(1-3x^2)), |x|<1/sqrt3 w.r.t tan^(-1)(...

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  13. Evaluate: int(e^x)/(sqrt(5-4e^x-e^(2x))) dx

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  14. Find the differential equation representing the family of curves y=-Ac...

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  15. If sqrt(1-x^2) + sqrt(1-y^2) = a(x-y), show dy/dx = sqrt((1-y^2)/(1-x^...

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  16. Find the area of the region {(x, y) : y^2 <=6ax and x^2+y^2<=16a^2} ...

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  17. Find the differential of the function cos^(-1) (sin 2x) w.r.tx.

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  18. Find int e^x((2+sin 2x)/(2 cos^2x)) dx

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  19. Using integration, find the area of the triangle bounded by the lines:...

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  20. Prove that the relation R in the set A={1,2,3,4,5,6,7} given by R={(a,...

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