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If y= (a + bx)/(c + dx), where a, b, c, ...

If `y= (a + bx)/(c + dx)`, where a, b, c, d are constants and `lamda y_(1) y_(3)= mu y_(2)^(2)` then the value of `mu^(lamda^(2))` is ……… where `y_(1), y_(2), y_(3)` are respectively. First, second and third derivatives of y.

A

42

B

81

C

64

D

27

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The correct Answer is:
B
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KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Textbook based MCQs
  1. x= f(t), y= phi (t) then (d^(2)y)/(dx^(2))= ……..

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  2. In the function f(x)= 2x^(3) + bx^(2) + qx satisfies conditions of Rol...

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  3. If y= (a + bx)/(c + dx), where a, b, c, d are constants and lamda y(1)...

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  4. The function f(x)= (2- root(4)(x^(2) +16))/(cos 2x-1) is continuous at...

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  5. Let f(x)= x^(3)-x^(2) + x + 1 g(x) = {max (f(t)), 0 le t le x}, 0 le x...

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  6. f(x)= |(sin x,cos x),(tan x,cot x)| then f'((pi)/(4))= …….

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  7. x= t^(2) + 3t- 8,y= 2t^(2) -2t- 4. If at point (2, -1), lamda = (dy)/(...

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  8. x=2 + t^(3), y= 2t^(2). If ((d^(2)y)/(dx^(2)))/(((dy)/(dx))^(n)) is co...

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  9. If F(x) = (1)/(x^(2)) underset(4)overset(x)int (4t^(2)- 2F'(t))dt then...

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  10. If sqrt(x^(2) + y^(2))=a. e^(tan^(-1)((y)/(x))), a gt 0 then the value...

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  11. If f(x-y), f(x).f(y) and f(x+ y) are in arithmatic progression and f(0...

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  12. [(d)/(dx) sec^(-1)x](x = -3)=…….

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  13. (d)/(dx) (x^(x))= ….(x gt 0)

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  14. (d)/(dx) (sin^(-1)x + cos^(-1) x)=……..(|x| lt 1)

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  15. (d)/(dx) (a^(a))= ……(a gt 0)

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  16. (d)/(dx) (e^(5x))= …….

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  17. (d)/(dx) (log |x|)= ……..(x ne 0)

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  18. (d)/(dx) (sin^(3)x)= …….

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  19. (d)/(dx) (tan^(n)x)= ……..

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  20. If f(x)= {(ax+b,1le x lt 5),(7x-5,5 le x lt 10),(bx + 3a,x ge 10):} is...

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