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(prove that) If the polar of the points ...

(prove that) If the polar of the points on the circle
`x^(2) + y ^(2) = a^(2)` with respect to the circle
` x^(2) + y^(2) = b^(2)` touches the circle `x^(2) + y^(2) = c^(2) `
then prove that a, b, c, are in Geometrical
progression.

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The correct Answer is:
a, b, c are in Geom etric progression.
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-CIRCLE-EXERCISE - 1(d)
  1. Find the pole of 3x + 4y -0 45 = 0 with respect to x^(2) + y^(2) - ...

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  2. Find the pole of x-2y + 22 = 0 with respect to x^(2) + y^(2) - 5 x ...

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  3. Show that the points (-6,1) and (2,3) are conjugate points with resp...

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  4. Show that the points (4,2) (3,-5) are conjugate points with respect ...

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  5. Find the value of k if kx+ 3y - 1 = 0, 2x + y + 5 = 0 are conjugate ...

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  6. Find the value of k if x + y - 5 = 0 2x + ky - 8 = 0 are conjugate...

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  7. Find the value of k if the points (1,3) and (2,k) are coujuate with ...

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  8. Find the value of k if the points (4,2) and (k-3) are conjugate points...

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  9. Find the angle between the tangents drawn from (3, 2) to the circle ...

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  10. Find the angle between the pair of tangents drawn from (1, 3) to the...

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  11. Find the angle between the pair of tangents drawn from (0,0) to the ...

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  12. Show that the locus of P where the tangents drawn from P to the circle...

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  13. Find the locus of P if the tangents drawn from P to x^(2) + y^(2) =...

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  14. Find the slope of the polar of (1, 3) with respect to the circle x^(...

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  15. If ax + by + c = 0 is the polar of (1,1) with respect to the circle x^...

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  16. Find the coordinates of the point of in- tersection of tangents at t...

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  17. (prove that) If the polar of the points on the circle x^(2) + y ^(2)...

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  18. Tangents are drawn to the circle x^(2) + y^(2) = 16 from the point ...

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  19. Find the locus of the point whpse polars with respect to the circles...

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  20. Find the locus of the foot of the perpen- dircular drawn from the or...

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