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If x^(2) + y^(2) =4, then y(dy)/(dx)+x=...

If `x^(2) + y^(2) =4`, then `y(dy)/(dx)+x`=

A

4

B

0

C

1

D

`-1`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2011-MULTIPLE CHOICE QUESTIONS
  1. For the function f(x) = e^(cos x), Rolle's theorem is:

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  2. The general solution of the differential equation: (d^(2)y)/(dx^(2))...

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  3. If x^(2) + y^(2) =4, then y(dy)/(dx)+x=

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  4. int (x^(3)dx)/(1+x^(8))=

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  5. int(pi)^(16pi) |sin x| dx=

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  6. The degree and order of the differential equation y =x((dy)/(dx))^(2...

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  7. f(x) ={{:(0, x=0),(x-3, x gt 0):} The function f(x) is:

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  8. The function f(x) = ax + b is strictly increasing for all real x if

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  9. int(cos 2x)/(cos x) dx=

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  10. int (sin^(8)x - cos^(8)x)/(1-2sin^(2)x cos^(2)x) dx.

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  11. The general solution of the differential equation log(e) ((dy)/(dx)) =...

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  12. If y=A/x + Bx^(2), then x^(2) (d^(2)y)/(dx^(2)) =

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  13. If one of the cube roots of 1 be omega, then |{:(1, 1+omega^(2), ome...

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  14. 4 boys and 2 girls occupy seats in a row at random. Then the probabili...

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  15. A coin is tossed again and again. If tail appears on first three tosse...

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  16. The coefficient of x^(n) in the expansion of (e^(7x) + e^(x))/e^(3x) i...

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  17. The sum of the series: 1/(1.2) -1/(2.3) +1/(3.4)-1/(4.5)………. infty i...

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  18. The number (101)^(100)-1 is divisible by:

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  19. If A and B are coefficients of x^(n) in the expansions of (1+x)^(2n) ...

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  20. If n gt 1 is an integer and x ne 0 , then (1+x)^(n)-nx-1 is divisible...

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