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Find the value of a for which the functi...

Find the value of a for which the function `f` defined by `f9x)={asinpi/2(x+1),xlt=0(tanx-sinx)/(x^3),x >0"i sc o n t i n u o u s"a tx=0`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Solve the following differential equation: cos^2x(dy)/(dx)+y=tanx

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  2. Solve the following differential equation: e^xtany\ dx+(1-e^x)sec^2y...

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  3. Find the value of a for which the function f defined by f9x)={asinpi/...

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  4. int2/((1-x)(1+x^2))dx

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  5. Consider the binary operation ** on the set {1, 2, 3, 4, 5} defined by...

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  6. Write the intercept cut off by the plane 2x+y-z=5 on x-a xi sdot

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  7. Using properties of determinants, prove that |(-a^2,ab,ac),(ba,-b^2,bc...

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  8. Write the principal value of t a n^(-1)[t a n(3pi)/4]dot

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  9. Show that the right circular cylinder, open at the top, and of give...

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  10. The points A(4, 5, 10), B(2, 3, 4) and C (1, 2,-1) are thr...

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  11. A small firm manufactures gold rings and chains. The total number o...

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  12. Find the particular solution of the differential equation satisfyin...

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  13. Find the points on the curve y=x^3 at which the slope of the tangen...

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  14. Find the area of the region bounded by the curves x^(2)+y^(2)=4 and (x...

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  15. Using properties of determinants, show the following: |[(b+c)^2,ab, ...

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  16. Find the values of x for which f(x)=[x(x-2)]^2 is an increasing unc...

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  17. Find the particular solution of the differential equation x(x^2-a)...

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  18. Form the differential equation of the family of circles in the seco...

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  19. A dealer wishes to purchase a number of fans and sewing machines. He h...

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  20. Find the area of the region included between the parabola y^2=x and...

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