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The equation y^(2)+4x+4y+k=0 represents ...

The equation `y^(2)+4x+4y+k=0` represents a parabola whose latus rectum is

A

1

B

2

C

3

D

4

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P (x_(1),y_(1)) and Q(x_(2),y_(2)) are two ends of a latus rectum of the ellipse x^(2) + 4y^(2) = 4 , where y_(1),y_(2) lt 0 . The equation of parabola with latus rectum PQ is _

The locus of the midpoints of the portion of the normal to the parabola y^(2)=16x intercepted between the curve and the axis is another parabola whose latus rectum is ___________ .

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2012-MULTIPLE CHOICE QUESTIONS
  1. Let R be the set of real numbers and the function f: RR to RR and g: R...

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  2. If a,b,c are in arithmetic progression then the roots of the equation ...

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  3. The equation y^(2)+4x+4y+k=0 represents a parabola whose latus rectum ...

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  4. If the circles x^(2)+y^(2)+2x+2ky+6=0 and x^(2)+y^(2)+2ky+k=0 intersec...

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  5. If four distinct points (2k, 3k) (2,0) (0,3) (0,0) lie on a circle, th...

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  6. The line joining A( b cos alpha, b sin alpha) and B( a cos beta, alpha...

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  7. Let the foci of the ellipse (x^(2))/(9)+y^(2)=1 subtend a right angle ...

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  8. The general solution of the differential equation (dy)/(dx)=(x+y+1)/(2...

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  9. The value of the integral int(pi//6)^(pi//2) ((1+sin 2x+cos 2x)/(sin x...

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  10. The valueof the integral int(0)^((pi)/(2)) (1)/(1+(tanx)^(101))dx is e...

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  11. The integrating factor of the differential equation 3xlog(e)x(dy)/(dx)...

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  12. Number of solutions of the equation tan x+sec x=2 cos, x, in {0, pi} i...

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  13. The value of the integral int (0)^((pi)/(4)) (sin x+cosx)/(3+ sinx2x)d...

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  14. Let y=((3^(x)-1)/(3^(x)+1)) sinx+log(e)(1+x), x gt -1 then at x=0, (dy...

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  15. Maximum value of the function f(x)=(x)/(8)+(2)/(x) on the interval [1...

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  16. For -(pi)/(2) lt x lt (3pi)/(2) the value of (d)/(dx){"tan"^(-1)(cosx)...

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  17. The value of the integral int(-2)^(2)(1+2 sinx)e^(|x|)dx is equal to

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  18. The maximum value of |z| when the complex number z satisfied the condi...

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  19. If ((3)/(2)+ (sqrt(3))/(2))^(50)=3^(25)(x+iy) where x and y are real, ...

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  20. If (z-1)/(z+1) is purely imaginary, then

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