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Find the locus of a point which moves so...

Find the locus of a point which moves so that the ratio of the lengths of the tangents to the circles `x^2+y^2+4x+3=0` and `x^2+y^2-6x+5=0` is `2: 3.`

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If P is a point such that the ratio of the squares of the lengths of the tangents from P to the circles x^(2)+y^(2)+2x-2y-20=0 and x^(2)+y^(2)-4x+2y-44=0 is 2:3, then the locus of P is a circle with centre

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Tangents are drawn to x^2+y^2=1 from any arbitrary point P on the line...

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  2. Find the length of the tangent drawn from any point on the circle x^2+...

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  3. Find the locus of a point which moves so that the ratio of the lengths...

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  4. The tangent at any point P on the circle x^2+y^2=4 meets the coordinat...

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  5. If a line passing through the origin touches the circle (x-4)^2+(y+5)^...

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  6. If the chord of contact of the tangents drawn from the point (h , k) t...

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  7. If the straight line x - 2y + 1 = 0 intersects the circle x^2 + y^2 = ...

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  8. If the chord of contact of the tangents drawn from a point on the ci...

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  9. The lengths of the tangents from any point on the circle 15x^(2)+15y^(...

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  10. Find the equation of the normal to the circle x^2+y^2=9 at the point (...

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  11. Find the equations of tangents to the circle x^2+y^2-22 x-4y+25=0 whic...

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  12. If the length tangent drawn from the point (5, 3) to the circle x^2...

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  13. A pair of tangents are drawn from the origin to the circle x^2+y^2+20(...

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  14. Find the equation of the normal to the circle x^2+y^2-2x=0 parallel to...

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  15. Find the equation of the tangent to the circle x^2+y^2+4x-4y+4=0 which...

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  16. If the distances from the origin of the centers of three circles x^2+y...

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  17. Find the equation of the normals to the circle x^2+y^2-8x-2y+12=0 at t...

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  18. An infinite number of tangents can be drawn from (1,2) to the circle x...

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  19. If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two dis...

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  20. The line A x+B y+C=0 cuts the circle x^2+y^2+a x+b y+c=0 at Pa n dQ . ...

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