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AB is a diameter of a circle. CD is a ch...

AB is a diameter of a circle. CD is a chord parallel to AB and `2CD = AB`. The tangent at B meets the line AC produced at E then AE is equal to -

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A DAS GUPTA-Circles-EXERCISE
  1. Find the equation of the tangent to the circle x^2 + y^2 - 80x - 60y +...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. Find the equation of the circle passing through the intersection of th...

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  16. Find the equation of the circle passing through the point of intersect...

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  17. Find the equation of the circle whose diameter is the common chord of ...

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  18. The line Ax+By+=0 cuts the circle by x^2+y^2+Ax+By+C=0at P and Q. The ...

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  19. Prove that the equation x^(2)+y^(2)-2x-2ay-8=0, a in R represents the...

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  20. The common chord of the circle x^2+y^2+6x+8y-7=0 and a circle passing ...

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