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The equation of incircle of the triangle formed by common tangents to the circles `x^(2)+y^(2)=4 and x^(2)+y^(2)-6x+8=0` is

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MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS )
  1. The abscissa of two A and B are the roots of the equation x ^(2) - 4x ...

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  2. Let S = { (x, y |(x-3) ^(2) + (y + 42) ^(2) = 196} If A = min ((x,y)...

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  3. If the circle x^2 + y^2 + ( 3 + sin beta) x + 2 cos alpha y = 0 and x...

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  4. Let C be a circle whose centre is on te x-axis. Suppose C touches the ...

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  5. The equation of incircle of the triangle formed by common tangents to ...

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  6. If the length of the common chord of two circles x^2+y^2+8x+1=0 and x^...

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  7. The condition that the chord xcosalpha+ysinalpha=p=0 of x^2+y^2-a^2=0 ...

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  8. A triangle is inscribed in a circle of radius 1. The distance between ...

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  9. ABCD is a square of unit area. A circle is tangent to two sides of ABC...

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  10. Let ABCD be a rhombus such that angle ABC =2pi //3. Let S be a circle ...

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  11. Two circles C (1) and C (2) with equal radii r are centered at (3,2) a...

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  12. If two circles x^(2) + y^(2) - 2ax + c = =0 and x^(2) + y^(2) - ...

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  13. Sum of the squares of the lengths of the tangents from the points (20,...

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  14. If l, m n denote the lengths of the intercepts made by the circle x ^(...

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  15. The geometrical mean between the smallest and greatest distance of the...

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  16. The distance between the chords of contact of the tangents to the circ...

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