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If y=[x+sqrt(x^(2)+a^(2))]^(n), then pro...

If `y=[x+sqrt(x^(2)+a^(2))]^(n)`, then prove that `(dy)/(dx)=(ny)/(sqrt(x^(2)+a^(2)))`

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ARIHANT PRAKASHAN-VERY SIMILAR TEST 8-Section C
  1. If y=[x+sqrt(x^(2)+a^(2))]^(n), then prove that (dy)/(dx)=(ny)/(sqrt(x...

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  2. Show that the right circular cone of least curved surface area and giv...

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  3. Find the area bounded by the curve y = sin x between x = 0 and x=2pi.

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  4. Find the particular solution of the differential equation (1 - y^(...

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  5. Evaluate int (1)/((x^(2) - 4)sqrt(x + 1))dx

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  6. Answer any three questions Find the coordinates of the point, where ...

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  7. Find the equation of the two lines through the origin which intersect ...

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  8. If a, b, c gt 0 such that a + b + c = abc find the value of tan^(-1)a ...

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  9. Solve the following LPP graphically. Maximize Z = 10x + 6y Sub...

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  10. Show the f:R-{-1)rightarrowR-{1} given by f(x)=frac[x][x-1] is inverti...

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  11. Show the following system of equations is consistent 2x - y + 3z = 5, ...

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  12. If A and B are two independent events such that P(barAcapB)=2/15 and P...

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  13. Find the inverse of the matrix A = |(1, 2, -2),(-1, 3, 0),(0, -2, 1)| ...

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  14. If y=[x+sqrt(x^(2)+a^(2))]^(n), then prove that (dy)/(dx)=(ny)/(sqrt(x...

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  15. Find the area bounded by the curve y = sin x between x = 0 and x=2pi.

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  16. Find the particular solution of the differential equation (1 - y^(...

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  17. Evaluate int (1)/((x^(2) - 4)sqrt(x + 1))dx

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  18. Answer any three questions Find the coordinates of the point, where ...

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  19. Find the equation of the two lines through the origin which intersect ...

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  20. If a, b, c gt 0 such that a + b + c = abc find the value of tan^(-1)a ...

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