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If x^my^n=(x+y)^(m+n) prove that (dy)/(...

If `x^my^n=(x+y)^(m+n)` prove that `(dy)/(dx)=y/x`

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If x^m y^n=(x+y)^(m+n), prove that (dy)/(dx)=y/x .

If x^m y^n=(x+y)^(m+n) , prove that (dy)/(dx)=y/x .

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Using properties of determinants, prove that |[a+x,y,z],[x,a+y,z],[x,y...

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  2. x=acostheta+bsintheta and y=asintheta-bcostheta, show that y^2(d^2y)/(...

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  3. If x^my^n=(x+y)^(m+n) prove that (dy)/(dx)=y/x

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  4. Two schools P and Q want to award their selected students on the va...

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  5. An insurance company insured 2000 scooter drivers, 4000 car drivers...

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  6. Three cards are drawn at random (without replacement) from a well shuf...

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  7. Evaluate : int(xcos^(-1)x)/(1-x^2)dx

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  8. Evaluate :int(3x-2)sqrt(x^2+x+1) dx

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  9. In answering a question on a multiple choice test, a student either kn...

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  10. A manufacturer produces nuts and bolts. It takes 2 hours work on machi...

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  11. Solve the differential equation : (xsin^2(y/x)-y)dx+xdy=0 given y=pi/4...

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  12. The sum of surface areas of a sphere and a cuboid with sides x/3,x and...

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  13. Show that the relation R in the set A = {1, 2, 3, 4, 5} given by R = {...

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  14. Using properties of determinants, solve for x:|[a+x, a-x, a-x],[ a-...

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  15. A trust fund has Rs. 35,000 is to be invested in two different types o...

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  16. Find the solution f the differential equation (dy)/(dx)=x^3e^(-2y)dot

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  17. In the interval pi/2 lt x lt pi, find the value of x for which the mat...

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  18. Write the vector equation of the line passing through (1,2,3) and pe...

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  19. Express the matrix A=[[2,4,-6],[ 7,3,5],[ 1,-2, 4]] as the sum of a sy...

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  20. Write the direction ratios of the vector 3 vec a+2 vec b where vec a=...

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