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Find the center of the smallest circle which cuts circles `x^2+y^2=1` and `x^2+y^2+8x+8y-33=0` orthogonally.

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Find the equation of the circle which cuts the circles x^2+y^2+4x+2y+1=0, 2(x^2+y^2)+8x+6y-3=0 and x^2+y^2+6x-2y-3=0 orthogonally.

Find the equation of the circle which cuts the circle x^(2)+y^(2)+5x+7y-4=0 orthogonally, has its centre on the line x=2 and passes through the point (4,-1).

Find the coordinates of the point at which the circles x^2+y^2-4x-2y+4=0 and x^2+y^2-12 x-8y+36=0 touch each other. Also, find equations of common tangents touching the circles the distinct points.

Find the equation of the circle which cuts each of the circles x^2+y^2=4 , x^2 +y^2-6x-8y.+ 10=0 & x^2 + y^2+2x-4y-2 = 0 at the extremities of a diameter

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Perpendiculars are drawn, respectively, from the points Pa n dQ to the...

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  2. Find the locus of the midpoint of the chord of the circle x^2+y^2-2x-2...

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  3. Find the center of the smallest circle which cuts circles x^2+y^2=1 an...

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  4. A point moves so that the sum of the squares of the perpendiculars let...

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  5. From a point P on the normal y=x+c of the circle x^2+y^2-2x-4y+5-lambd...

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  6. The circle x^2+y^2-4x-4y+4=0 is inscribed in a variable triangle O A B...

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  7. Consider three circles C1, C2 and C3 such that C2 is the director circ...

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  8. The line 9x+y-18=0 is the chord of contact of the point P(h , k) wit...

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  9. A circle x^2 +y^2 + 4x-2sqrt2 y + c = 0 is the director circle of circ...

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  10. Tangents are drawn to the circle x^2+y^2=9 at the points where it is ...

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  11. Find the length of the chord of contact with respect to the point on ...

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  12. The distance between the chords of contact of tangents to the circle x...

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  13. If 3x+y=0 is a tangent to a circle whose center is (2,-1) , then find ...

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  14. Find the number of common tangent to the circles x^2+y^2+2x+8y-23=0 an...

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  15. Two variable chords A Ba n dB C of a circle x^2+y^2=r^2 are such that ...

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  16. Find the equation of the chord of the circle x^2+y^2=9 whose middle po...

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  17. Find the circle of minimum radius which passes through the point (4, 3...

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  18. A variable chord is drawn through the origin to the circle x^2+y^2-2a ...

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  19. The radius of the tangent circle that can be drawn to pass through the...

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  20. Find the equation of the chord of the circle x^2+y^2=a^2 passing throu...

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