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Find the locus of the center of the circ...

Find the locus of the center of the circle touching the circle `x^2+y^2-4y-2x=4` internally and tangents on which from (1, 2) are making of `60^0` with each other.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. The locus of the point of intersection of the tangents to the circle x...

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  2. If two distinct chords, drawn from the point (p, q) on the circle x^2+...

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  3. Find the locus of the center of the circle touching the circle x^2+y^2...

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  4. If the line a x+b y=2 is a normal to the circle x^2+y^2-4x-4y=0 and a ...

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  5. If a line segement A M=a moves in the plane X O Y remaining parallel t...

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  6. The ends of a quadrant of a circle have the coordinates (1, 3) and (3,...

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  7. The tangents to x^2+y^2=a^2 having inclinations alpha and beta interse...

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  8. If the length of a common internal tangent to two circles is 7, and th...

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  9. If C1,C2,a n dC3 belong to a family of circles through the points (x1,...

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  10. Two circle are externally tangent. Lines PAB and P A 'B ' are common t...

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  11. Prove that quadrilateral A B C D , where A B=x+y-10 ,B C=x-7y+50=0,C D...

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  12. Statement 1 : Let S1: x^2+y^2-10 x-12 y-39=0, S2 x^2+y^2-2x-4y+1=0 an...

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  13. Find the locus of the midpoint of the chords of the circle x^2+y^2-ax-...

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  14. Let the lines (y-2)=m1(x-5) and (y+4)=m2(x-3) intersect at right angle...

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  15. A variable circle passes through the point A(a, b) and touches the x-a...

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  16. Find the equation of the circle if the chord of the circle joining (1,...

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  17. Find the equation of the circle which passes through (1, 0) and (0, 1)...

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  18. Tangents are drawn from the origin to the circle x^2+y^2-2h x-2h y+h^2...

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  19. Let A (-2,2)and B (2,-2) be two points AB subtends an angle of 45^@ at...

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  20. Consider the family of circles x^2+y^2-2x-2lambday-8=0 passing throug...

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