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A window has the shape of a rectangle su...

A window has the shape of a rectangle surmounted by an equilateral triangle. If the perimeter of the window is 12 m, find the dimensions of the rectangle that will produce the largest area of the window.

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Using matrices, solve the following system of equations: 4x+3y+2z=60...

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  2. A random variable X has the following probability distribution: ...

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  3. A window has the shape of a rectangle surmounted by an equilateral ...

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  4. Find the distance of the point (-1,\ -5,\ -10) , from the point of int...

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  5. Show that the right-circular cone of least curved surface and given...

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  6. How many times must a man toss a fair coin, so that the probability...

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  7. Using elementary transformations, find the inverse of the matrix [[-1,...

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  8. Find the equation of the tangent to the curve y=sqrt(3x-2) which is...

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  9. Find the intervals in which the function f given by f(x)=\ x^3+1/(...

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  10. Prove that sin^(-1)(63/65)=sin^(-1)(5/13)+cos^(-1)(3/5)

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  11. Evaluate: int0^(2pi)1/(1+e^(s in x))dx

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  12. Solve for x : 2tan^(-1)(sinx)=tan^(-1)(2secx),\ x!=pi/2

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  13. Prove the following: cot^(-1)[(sqrt(1+sinx )+sqrt(1-sinx))/(sqrt(1+sin...

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  14. Find the value of tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y))

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  15. Using properties of determinants, prove the following |[x,x+y,x+2y],[x...

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  16. Consider f: R^+->[4,\ oo) given by f(x)=x^2+4 . Show that f is inverti...

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  17. Differentiate the following with respect to x : sin^(-1)((2^(x+1). 3^x...

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  18. If y^x=e^(y-x), prove that (dy)/(dx)=((1+logy)^2)/(logy)

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  19. Write the cartesian equation of a plane, bisecting the line segment...

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  20. Solve the following differential equation: y\ dx+xlog(y/x)dy=2x\ dy

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