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The equation (s) of circle (s) touching ...

The equation (s) of circle (s) touching `12x - 5y = 7` at (1, 1) and having radius 13 is/are

A

`x^(2) + y^(2) - 22x + 12y - 1 = 0`

B

`x^(2) + y^(2) + 22x - 12y - 12 = 0`

C

`x^(2) + y^(2) - 26x - 8y + 16 = 0`

D

`x^(2) + y^(2) -26x + 8y + 16 = 0`

Text Solution

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The correct Answer is:
B, D
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AAKASH INSTITUTE-CONIC SECTIONS-SECTION-C
  1. C(1) and C(2) are two concentrate circles, the radius of C(2) being t...

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  2. The equation (s) of common tangents (s) to the two circles x^(2) + y^...

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  3. The equation (s) of circle (s) touching 12x - 5y = 7 at (1, 1) and hav...

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  4. Let circle cuts ortholognally each of the three circles x^(2) + y^(2) ...

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  5. The equation of a circle touching x-axis at (-4, 0) and cutting off an...

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  6. Let one of the vertices of the square circumseribing the circle x^(2) ...

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  7. IF x^(2) + y^(2) - 2y - 15 + lambda (2x + y - 9) = 0 represents family...

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  8. Let the midpoint of the chord of contact of tangents drawn from A to t...

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  9. y^2-2x-2y+5=0 represents

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  10. If tangents PA and PB are drawn from P(-1, 2) to y^(2) = 4x then

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  11. Two parabola have the same focus. If their directrices are the x-axis ...

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  12. The normal to parabola y^(2) =4ax from the point (5a, -2a) are

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  13. The coordinates of a focus of the ellipse 4x^(2) + 9y^(2) =1 are

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  14. On the ellipse 4x^2+9y^2=1, the points at which the tangents are paral...

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  15. Let P be a variable on the ellipse (x^(2))/(25)+ (y^(2))/(16) =1 with ...

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  16. Tangents are drawn to the ellipse x^2/9+y^2/5 = 1 at the end of latus ...

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  17. The equation of common tangent of the curve x^(2) + 4y^(2) = 8 and y^(...

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  18. Chord of contact of tangents drawn from the point M(h, k) to the ellip...

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  19. Equation ofa tangent passing through (2, 8) to the hyperbola 5x^(2) - ...

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  20. If the circle x^2+y^2=a^2 intersects the hyperbola x y=c^2 at four poi...

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