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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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MTG-WBJEE-CONIC SECTIONS-WB JEE PREVIOUS YEARS QUESTIONS (CATEGORY 1 : Single Option Correct Type)
  1. Lines x+y=1 and 3y=x+3 intersect the ellipse x^(2)+9y^(2)=9 at the poi...

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  2. For the variable t, the locus of the point of intersection of the line...

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

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  5. The line y=x intersects the hyperbola x^2/9-y^2/25=1 at the points P a...

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  6. If the distance between the foci of an ellipse is half the length of i...

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  7. If P be a point on the parabola y^2 = 4ax with focus F. Let Q denote t...

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  8. if y=4x+3 is parallel to a tangent to the parabola y^2=12x, then its d...

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  9. The point on the parabola y^2= 64x which is nearest to the line 4x +3y...

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  10. The value of lambda for which the curve (7x + 5)^2 + (7y + 3)^2 = lam...

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  11. The equation of the common tangent with positive slope to the parabola...

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  12. The the vertex of the conic y^(2)-4y=4x-4a always lies between the str...

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  13. Number of intersecting points of the coincs 4x^2+9y^2=1 and 4x^2+y^2=4...

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  14. Then equation of auxiliary circle of the ellipse 16x^2 + 25y^2 +32x-10...

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  15. If P Q is a double ordinate of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1...

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  16. The line y=x+lambda is a tangent to an ellipse 2x^2+3y^2=1 then

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  17. The locus of the point of intersection of the straight lines x/a+y/b=k...

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  18. Let P be the foot of the perpendicular from focus S of hyperbola x^2/a...

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  19. B is extermity of the minor axis of an elipse whose foci are S and S'....

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  20. The axis of the parabola x^2+2x y+y^2-5x+5y-5=0 is

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