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Find the coordinates of a point on the p...

Find the coordinates of a point on the parabola `y=x^2+7x+2` which is closest to the straight line `y=3x-3.`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Find the distance of the point (1,2,3) from the plane xy+z=5 measured ...

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  2. Find the minimum value of (a x+b y), where x y=c^2dot

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  3. Find the coordinates of a point on the parabola y=x^2+7x+2 which is cl...

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  4. Using properties of determinants, prove the following: |[1,a,a^2],[a^2...

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  5. Solve the following differential equation : (sqrt(1+x^2+y^2+x^2y^2))d...

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  6. If a=[5 6-3-4 3 2-4-7 3], then write the cofactor of the element a(...

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  7. Write the sum of the order and degree of the differential equation ...

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  8. Write the solution of the differential equation (dy)/(dx)=2^(-y)

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  9. Using integration, find the area of the region bounded by the line ...

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  10. Find the probability distribution of the number of doublets in four...

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  11. Find the unit vector in the direction of the sum of the vectors 2 hat ...

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  12. Find the area of a parallelogram whose adjacent sides are represent...

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  13. Find the sum of the intercepts cut off by the plane 2x+yz=5 , on the c...

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  14. If 2tan^(-1)(costheta)=tan^(-1)(2cos e ctheta),(theta!=0) , then find ...

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  15. If tan^(-1)(1/(1+1. 2))+tan^(-1)(1/(1+2. 3))+...+tan^(-1)(1/(1+n(n+1))...

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  16. Evaluate : int(sin(x-a))/(sin(x+a))dx

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  17. Maximise z = 8x + 9y subject to the constraints given below : 2x+3...

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  18. Evaluate : inte^(2x)dotsin(3x+1)dx

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  19. In a parliament election, a political party hired a public relation...

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  20. Find whether the following function is differentiable at x = 1 and ...

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