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The equation of the locus of the mid-poi...

The equation of the locus of the mid-points of chords of the circle `4x^2 + 4y^2-12x + 4y +1= 0` that subtends an angle of at its centre is `(2pi)/3` at its centre is `x^2 + y^2-kx + y +31/16=0` then k is

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A DAS GUPTA-Circles-EXERCISE
  1. A circle touches x-axis at (2, 0) and has an intercept of 4 units on y...

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  2. Tht line L passes through the points f intersection of the circles x ^...

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  3. The equation of the locus of the mid-points of chords of the circle 4...

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  4. The sides of a square are x =4, x = 7, y =1 and y = 4 . The equation...

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  5. If (4, 1) be an end of a diameter of the circle x^2 + y^2 - 2x + 6y-15...

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  6. 7y-x-5=0 touches the circle x^2+y^2-5x+5y=0. The equation of other par...

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  7. Find the equation of the tangents to the circle x^2 + y^2 = 4 which ma...

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  8. If the circles (x-a)^(2)+(y-b)^(2)=c^(2) and (x-b)^(2)+(y-a)^(2)=c^(2)...

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  9. If a circle passes through the points of intersection of the coordinat...

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  10. The area of the triangle formed by the positive x-axis with the norma...

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  11. The equation of the circle passing through (2,0) and (0,4) and having ...

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  12. The equation of the line passing through the points of intersection of...

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  13. The area bounded by circles x^2 +y^2=r^2, r = 1, 2 and rays given by 2...

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  14. If the cirles x^2+y^2=2 and x^2+y^2-4x-4y+lambda=0 have exactly three ...

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  15. Show that the circle x^(2)+y^(2)-2ax-2ay+a^(2)=0 touches both the coor...

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  16. The chords of contact of the pair of tangents drawn from each point on...

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  17. The chord along the line y-x=3 of the circle x^2 + y^2 = k^2, subtends...

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  18. A square is inscribed in the circle x^2+y^2-2x+4y+3=0 . Its sides are ...

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  19. The number of integral values of r for which the circle (x-1)^2+(y-3)...

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  20. The centre of a circle passing through the points (0, 0), (1, 0) and t...

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