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A circle has its centre on the straight line 5x - 2y + 1 = 0 and cuts the x-axis at the two points whose abscissae are (-5) and 3, find the equation of the circle and its radius.

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The correct Answer is:
`x^(2) + y^(2) + 2x + 4y - 15 = 0` and `2sqrt(5)` unit
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CHHAYA PUBLICATION-CIRCLE-Exercise 3 (Short Answer Type Questions)
  1. The extremities of a diameter of a circle are the points (4, -2) and (...

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  2. Find the equation of the circle through the points (4, 3) and (-2, 5) ...

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  3. A circle has its centre on the straight line 5x - 2y + 1 = 0 and cuts ...

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  4. The equations of a diameter of a circle is 2x - y + 4 = 0 and it passe...

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  5. A circle passes through the points (-6, 5), (-3, -4) and its radius is...

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  6. 3x + y = 5 and x+y+1 = 0 are two diameters to the circle which passes ...

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  7. A circle passes through the points (-3, 4), (1, 0) and its centre lies...

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  8. Find the equation of the circle which has its centre on the line y = 2...

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  9. Find the equation to the circle which touches the y-axis at the origin...

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  10. A circle touches the x-axis at (3, 0) and its radius is twice the radi...

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  11. A circle touches y-axis at (0, 5) and whose centre lies on the line 2x...

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  12. Find the equation of a circle which passes through the point (4, 2) an...

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  13. Two cirles of radii 2 and 10 units respectively pass through (2, 4) an...

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  14. Prove that the point (-1, -2) lies on the circle x^(2) + y^(2) - x y -...

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  15. Show that for all values of p, the circle x^(2) + y^(2) - x(3p+4) - y(...

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  16. Find the coordinates of points equidistant from the axes and lying on ...

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  17. Find the equation to the common chord of the two circles x^(2) + y^(2)...

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  18. Find the equation of the common chord of the two circles x^(2)+y^(2)-4...

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  19. Find the equation of the circles which passes through the origin and t...

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  20. A point moves in such a manner that the sum of the squares of its dist...

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