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A point on the hypotenuse of a right tri...

A point on the hypotenuse of a right triangle is at distances a and b from the sides of the triangle. Show that the minimum length of the hypotenuse is `(a^(2/3)+b^(2/3))^(3/2)`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Evaluate : int0^(pi/4)log(1+tanx)dxdot

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  2. Find : intx/((x-1)^2(x+2))dx

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  3. A point on the hypotenuse of a right triangle is at distances a and b ...

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  4. Evaluate: int[x+2]/[2x^2+6x+5]dx

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  5. Write the order of the differential equation 1+((dy)/(dx))^2=7\ ((d^2y...

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  6. Two schools A and B decided to award prizes to their students for thre...

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  7. If A=(1 2 3-1)a n dB=(1 3-1 1), write the value of |A B| .

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  8. Write the differential equation obtained by eliminating the arbitrary ...

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  9. If vec a and vec b are unit Vectors, then what is the angle betwe...

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  10. If a line makes angles alpha,beta,gamma with the positive direction of...

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  11. Find a Vector in the direction of vec a= hat i-2 hat j that has magni...

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  12. Let A = R × R and * be the binary operation on A defined by (a, b) *...

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  13. Find the inverse of the matrix A=[1 3 3 1 4 3 1 3 4]

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  14. If [2x3][1 2-3 0][x3]=O , find x

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  15. Find the equation of the plane through the line of intersection of the...

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  16. A bag contains 4 red and 4 black balls, another bag contains 2 red and...

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  17. One kind of cake requires 200 g of flour and 25 g of fat, and anoth...

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  18. Using properties of determinants, prove that |[(a+1)(a+2),a+2,1],[(a...

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  19. Solve the differential equation x^2dy+(x y+y^2)dx=0 given y=1, when x=...

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  20. Find the particular solution of the differential equation x(dy)/(dx)+y...

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