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Calculate the radii and distance between...

Calculate the radii and distance between the centres of the circle whose equations are,
`x^2+y^2-16x-10y+8=0`
`x^2+y^2+6x-4y-36=0`
Hence or otherwise prove that the tangents drawn to the circles at their points of intersection are perpendicular.

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MBD PUBLICATION-CONIC SECTIONS-QUESTION BANK
  1. Find the equation of the tangents to the circle x^2+y^2+4x-6y-16=0 at ...

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  2. Find the condition under which the tangents at (x1, y1) and (x2, y2) t...

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  3. Calculate the radii and distance between the centres of the circle who...

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  4. Find the equation of the tangents to the circle x^2+y^2=9, perpendicul...

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  5. Find the equation of the tangents to the circle x^2+y^2-2x+4y=4, paral...

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  6. Show that the line x - 7y + 5 = 0 is a tangent to the circle x^2+y^2-5...

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  7. Prove that the line ax + by + c = 0 will be a tangent to the circle x^...

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  8. prove that the line 2x + y = 1 is a tangent to the circle x^2+y^2+6x-4...

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  9. If the line 4y - 3x = k is a tangent to the circle x^2+y^2+10x-6y+9=0 ...

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  10. Find the length of the tangent, drawn to the circles x^2+y^2+10x-6y+8=...

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  11. Find the length of the tangent drawn from the point (2, -1) to the cir...

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  12. Find the length of the tangent drawn from the point (4, 7) to the circ...

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  13. Prove that the circles given by the equations x^2+y^2+2x-8y+8=0 and x^...

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  14. Prove that the circles given by the equations x^2+y^2=4 and x^2+y^2+6x...

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  15. Prove that the two circles x^2+y^2+2by+c^2=0 and x^2+y^2+2ax+c^2=0, wi...

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  16. Prove that the circles given by x^2+y^2+2ax+2by+c=0, and x^2+y^2+2bx+2...

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  17. Find the equation of the circle through the point of intersection of c...

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

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  19. Find the radical axis of the circles x^2+y^2-6x-8y-3=0 and 2x^2+2y^2+4...

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  20. Find the radical axis of the circles x^2+y^2-6x+8y-12=0 and x^2+y^2+6x...

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