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If the vertex of coinc y^(2)-4y=4x-4a al...

If the vertex of coinc `y^(2)-4y=4x-4a` always lies between the straight lines , `x+y=3` and `2x+2y-1=0` then

A

`2 lt a lt 4`

B

`-(1)/(2)lt a lt 2`

C

`0 lt a lt 2`

D

`-(1)/(2)lt a lt 3//2`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2016-MULTIPLE CHOICE QUESTIONS
  1. If the vertex of coinc y^(2)-4y=4x-4a always lies between the straight...

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  2. A straight line joining the points (1, 1, 1) and (0, 0, 0) intersects ...

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  3. Angle between the planes x+y+2z=6 and 2x-y+z=9 is

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  4. If y=(1+x)(1+x^(2))(1+x^(4))…..(1+x^(2n)) then the value of ((dy)/(dx)...

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  5. IF f(x) is an odd differentiable function defined on (-oo, oo) such th...

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  6. lim(x to 1)((1+x)/(2+x))^(1/2)

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  7. If f(x)=tan^(-1)[(log((e )/(x^(2))))/(log (ex^(2)))]+tan^(-1)[(3+2 lo...

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  8. int(log sqrt(x))/(3x)dx is equal to

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  9. int 2^(x)(f'(x)+f(x)log 2)dx is equal to

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  10. int(0)^(1)log((1)/(x)-1)dx=

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  11. The value of lim(n to oo){(sqrt(n+1)+sqrt(n+2)+…+sqrt(2n-1))/(n^(3//2)...

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  12. If the solution of the differential equation x(dy)/(dx)+y=xe^(x) be, x...

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  13. The order of the differential equation of all parabolas whose axis of ...

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  14. The line y=x+lambda is tangent to the ellipse 2x^(2)+3y^(2)=1. Then la...

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  15. The area enclosed by y=sqrt(5-x^(2)) nd y=|x-1| is

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  16. Let S be the set of points whose abscissas and ordinates are natural n...

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  17. Time period T of a simple pendulum of length l is given by T = 2pi sqr...

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  18. The cosine of the angle between any two diagonals of a cube is

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  19. If x is a positive real number different from 1 such that log(a)x,log(...

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  20. If a, x are real numbers and |a|lt 1, |x|lt 1, then 1+(1+a)x+(1+a+a^(2...

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