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Find the value of a for which the function `f` defined by `f(x)={asin(pi/2)(x+1),xlt=0(tanx-sinx)/(x^3),x >0" is continuous", `at x=0`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-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 f(x)={asin(pi...

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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-axis

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  7. Using properties of determinants, prove that |-a^2a b a c b a-b^2b cc...

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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. about to only mathematics

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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. Using integration, find the area of the region enclosed between the...

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  15. Using properties of determinants, prove that following: |"a"+"b"+2...

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

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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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