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Find the values of a,b if `ax^(2) + bxy+ 3y^(2) -5x +2y -3 = 0 ` represents a circle . Also find the radius and centre of the circle .

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The correct Answer is:
a=3,b =0 radius = ` (sqrt(65))/( 6), ( ( 5)/(6), (-1)/(3)) `
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AAKASH SERIES-CIRCLE-EXERCISE -1.1
  1. Find the equation of the circle whose centre is (-1,2) and which pass...

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  2. Find the value of aif 2x^(2) + ay^(2) -3x + 2y -1 =0 represents a ci...

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  3. Find the values of a,b if ax^(2) + bxy+ 3y^(2) -5x +2y -3 = 0 represe...

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  4. If x^(2) + y^(2) + 2gx + 2fy = 0 represents a circle with cerntre (-...

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  5. If the circle x^(2) + y ^(2) + ax + by - 12=0 has the centre at (...

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  6. If the circle x^(2) + y^(2) -4x + 6y + a =0 has radius 4, find a.

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  7. Find the equations of the circles for which the points given below a...

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  8. Find the equation of the circle for which the point given below are th...

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  9. Find the equation of the circle for which the point given below are th...

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  10. Find the equation of the circle for which the point given below are th...

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  11. Find the equation of the circle for which the point given below are th...

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  12. Find the equations of the circles for which the points given below a...

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  13. Find the other end of the diameter of the circle x^(2) +y^(2) -8x + 27...

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  14. Show that A(3,-1) lies on the circle x^(2) + y^(2) - 2x + 4y = 0. Al...

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  15. Show that A(-3,0) lies on x^(2)+y^(2) + 8x+ 12 y + 15 = 0 and find the...

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  16. Find the equation of a circle which is concentirc with x^(2) = y^(2)...

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  17. If the abscissae of points A, B are the roots of the equation x^(2) + ...

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

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  19. Find the equation of a circle which passes through (4,1) (6,5) and h...

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  20. Find the equation of a circle which passes through (2,-3) and (-4,5)...

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