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Find the length of the perpendicular dra...

Find the length of the perpendicular drawn from the origin to the plane 2x - 3y+6z+21=0.`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. If a unit vector vec a makes angles pi/3 with hat i ,pi/4 with hat ...

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  2. Find | vec x| , if for a unit vector vec a ,\ ( vec x- vec a)*( vec ...

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  3. Find the length of the perpendicular drawn from the origin to the pl...

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  4. Find the vector equation of the plane passing through three points w...

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  5. Write the principal value of tan^(-1)sqrt(3)-cot^(-1)(-sqrt(3)) .

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  6. Write the value of tan^(-1)[2sin(2cos^(-1)(sqrt(3)/2))] .

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  7. For what value of x is the matrix A=[(0,1,-2),(1,0,3),(x,3,0)] a skew-...

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  8. Using matrices, solve the following system of linear equations: x - ...

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  9. Write the differential equation representing the family of curves y...

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  10. If A(ij) is the cofactor of the element a(ij) of the determinant |(2,-...

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  11. P and Q are two points with position vectors 3 vec a-2 vec b and v...

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  12. Show that the differential equation 2y e^(x/y)\ dx+(y-2x e^(x/ y) ) dy...

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  13. Sketch the graph of y=|x+3| and evaluate the area under the curve ...

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  14. Evaluate: int(x^2+1)/((x-1)^2(x+3))\ dx

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  15. Evaluate: int(xsin^(-1)x)/(sqrt(1-x^2))\ dx

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  16. Using differentials, find the approximate value of f(2. 01), where ...

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  17. Find the equation of the tangent to the curve y=sqrt(4x-2)\ which ...

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  18. Prove the following: tan^(-1)sqrt(x)=1/2cos^(-1)((1-x)/(1+x)),\ x\ \ ...

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  19. Prove the following: cos^(-1)((12)/(13))+sin^(-1)(3/5)=sin^(-1)((56)/...

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  20. Often it is taken that a truthful person commands, more respect in ...

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