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The locus of the midpoints of the chords...

The locus of the midpoints of the chords of an ellipse `x^(2)+4y^(2)=4` that are drawn from the positive end of the minor axis, is

A

a circle with centre `((1)/(2), 0)` and radius 1

B

a parabola with focus `((1)/(2), 0)` and directrix `x=-1`

C

an ellipse with centre `(0, (1)/(2))`, major axis 1 and minor axis `(1)/(2)`

D

a hyperbola with centre `(0,(1)/(2))`, transverse axis 1 and conjugate axis `(1)/(2)`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2013-MULTIPLE CHOICE QUESTIONS
  1. A point P lies on the circle x^(2)+y^(2)=169. If Q=(5,12) and R=(-12,5...

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  2. A circle passing through (0, 0), (2, 6), (6, 2) cuts the x-axis at the...

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  3. The locus of the midpoints of the chords of an ellipse x^(2)+4y^(2)=4 ...

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  4. A point moves so that the sum of squares of its distances from the poi...

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  5. For the variable t, the locus of the points of intersection of lines x...

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  6. Let P=(("cos"(pi)/(4),-"sin"(pi)/(4)),("sin"(pi)/(4),"cos"(pi)/(4))) a...

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  7. The number of solutions of the equation x+y+z=10 in positive integers ...

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  8. For 0 le P, Q le (pi)/(2), if sin P+cos Q=2, then the value of tan((P+...

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  9. If alpha and beta are the roots of x^(2)-x+1=0, then the value of alph...

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  10. The value of the integral int(-1)^(+1){(x^(2013))/(e^(|x|)(x^(2)+cos x...

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  11. Let f(x)=2^(100)x+1, g(x)=3^(100)x+1. Then the set of real ...

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  12. The limit of x sin(e^(1//x)) as x to 0

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  13. Let I=((1,0,0),(0,1,0),(0,0,1)) and P=((1,0,0),(0,-1,0),(0,0,-2)). The...

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  14. If alpha, beta are the roots of the quadratic x^(2)+ax+b=0, (b ne 0), ...

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  15. The value of 1000[(1)/(1xx2)+(1)/(2xx3)+(1)/(3xx4)+……+(1)/(999xx1000)]...

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  16. The value of the determinant |(1+a^(2)-b^(2),2ab,-2b),(2ab,1-a^(2)+b^...

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  17. If the distance between the foci of an ellipse is equal to length of t...

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  18. For the curve x^(2)+4xy+8y^(2)=64 the tangents are parallel to the x-a...

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  19. The value of I=int(0)^((pi)/(4))(tan^(n+1)x)dx+(1)/(2)int(0)^((pi)/(2)...

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  20. Let f(theta)=(1+sin^(2)theta)(2-sin^(2)theta). Then for all values of ...

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