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A circle has radius 3u n i t s and its c...

A circle has radius `3u n i t s` and its centre lies on the line `y=x-1.` Find the equation of the circle, if it passes through `(7,3)dot`

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The correct Answer is:
`x^(2)+y^(2)-8x-6y=0` or
`x^(2)+y^(2)-14x-12y+76=0`
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CBSE COMPLEMENTARY MATERIAL-COORDINATE GEOMETRY-section(D) (Long Answer Type Questions ) (6 Marks)
  1. Prove that the points (1, 2), (3, - 4), (5, -6) and (11,-8) are concyc...

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  2. A circle has radius 3u n i t s and its centre lies on the line y=x-1. ...

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  3. find the equation of the circle which passes through the points (20,3)...

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  4. Find the equation of the circle having (1,-2) as its centre and passin...

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  5. Prove that the equation y^2+2Ax+2By+c=0 is represent a parabola and wh...

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  6. Show that the points A(5,5), B(6,4), C(-2,4) and D(7,1) all lies on t...

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  7. Find the equation of the ellipse whose minor aixs is equal to the dist...

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  8. Find the equation of the hyperbola whose axes (transverse and conjugat...

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  9. prove that the line 3x+4y+7=0 touches the circle x^2+y^2-4x-6y-12=0 al...

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  10. The equation of the ellipse whose focus is (1,0) and the directr...

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  11. Prove that the area of the traingle inscribed in the parabola y^2=4ax ...

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  12. The equation of the tangent to the circle x^(2)+y^(2)-2x-4y-4=0 which ...

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  13. find the equations of tangents to the circle x^2+y^2-4x-6y-12=0 which ...

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  14. Find the equation of the parabola whose focus is (1,-1) and whose vert...

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  15. Find the equation of the hyperbola whose directrix is 2x+y=1, focus(1,...

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  16. find the equation of cicle in the following case touches both the ...

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  17. find the equation of circle in each of the following cases ...

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  18. find the equation of cicle in each of the following cases ) (c)touche...

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  19. find the equation of cicle in each of the following cases )(d) touche...

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  20. Find the equation of a circle which touches x-axis at the origin and w...

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