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A circle touches both the x-axis and the...

A circle touches both the x-axis and the line `4x-3y+4=0`. Its centre is in the third quadrant and lies on the line `x-y-1=0`. Find the equation of the circle.

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A DAS GUPTA-Circles-EXERCISE
  1. Lines 5x + 12 y -10=0 and 5x - 12y - 40=0touch a circle C(1) of diamet...

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  2. Find the equation of the circle passing through the points A(4,3). B(...

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  3. A circle touches both the x-axis and the line 4x-3y+4=0. Its centre is...

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  4. Obtain the equations of the straight lines passing through the point A...

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  5. The extremities of a diagonal of a rectangle are (-4,4) and (6,-1). A...

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  6. Tangents are drawn to the circle x^(2) + y^(2) = 12 at the points wher...

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  7. Find the equation of the tangent to the circle x^2 + y^2 - 80x - 60y +...

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  8. The tangent to the circle x^(2)+y^(2)=5 at the point (1, -2) also touc...

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  9. AB is a diameter of a circle. CD is a chord parallel to AB and 2CD = A...

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  10. Tangent drawn from the point P(4,0) to the circle x^2+y^2=8 touches it...

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  11. Find the coordinates of the point at which the circles x^2-y^2-4x-2y+4...

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  12. A straight line AB is divided at C so that AC=3CB. Circles are describ...

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  13. If from any point P on the circle x^2+y^2+2gx+2fy+c=0 tangents are dra...

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  14. If the chord of contact of the tangents from a point on the circle x^2...

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  15. If the pole of a straight line with respect to the circle x^(2)+y^(2)=...

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  16. Tangents are drawn from the point (h,k) to ^circle x^2+y^2 =a^2; Prove...

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  17. Find the equation of the circle which has for its diameter the chord o...

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  18. If y=mx be the equation of a chord of the circle prove that the circle...

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  19. Prove that the circle x^2 + y^2-6x-4y+9=0 bisects the circumference of...

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  20. The equation of the circle on the common chord of the circles (x-a)^(2...

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