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The locus of the mid-points of a chord o...

The locus of the mid-points of a chord of the circle `x^(2)+y^(2)=4` which subtends a right angle at the origin is

A

x+y=1

B

x+y=2

C

`x^2+y^2=1`

D

`x^2+y^2=2` .

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MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. The equation of the circle, while touches the line x= y at origin and ...

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  2. The locus of the foot of the perpendicular from the centre of the elli...

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  3. The locus of the mid-points of a chord of the circle x^(2)+y^(2)=4 whi...

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  4. The length of the chord joining the points (4 cos theta 4 sin theta) a...

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  5. The number of common tangents to the circles x^2+y^2-y=0 and x^2+y^2+y...

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  6. The co-ordinates of the centre of the smallest circle passing through ...

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  7. The length of the diameter of the circle which cuts three circles : x^...

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  8. For the parabola y^2 = 4x, the point P whose focal distance is 17, is ...

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  9. The angle between the tangents drawn from origin to the parabola y^2= ...

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  10. The number of values of c such that the straight line y=4x+c touches t...

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  11. If the circle x^2+y^2=a^2 intersects the hyperbola x y=C^2 at four poi...

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  12. The foot of the perpendicular from the point (2, 4) upon x + y= 4 is:

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  13. The vertices of a triangle are (6, 0), (0, 6) and (6, 6). Then distanc...

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  14. The angle between the pair of lines : x^2+2xy-y^2=0 is :

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  15. In an ellipse, if the lines joining focus to the extremities of the mi...

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  16. If a hyperbola passes through the foci of the ellipse x^2/25+ y^2/16=1...

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  17. The curve described parametrically by x=t^2+t and y=t^2-t represents :

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  18. If P is a point (x,y) on the line y=-3x such that P and the point (3,4...

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  19. A variable line through the point (1/5,1/5) cuts the coordinate axes i...

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  20. Find the equation of the circle which cuts orthogonally the circle x^(...

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