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Let circle cuts ortholognally each of th...

Let circle cuts ortholognally each of the three circles `x^(2) + y^(2) + 3x + 4y + 11 = 0, x^(2) + y^(2) - 3x + 7y - 1 = 0` and `x^(2) + y^(2) + 2x = 0`

A

The centre of the circle is `(-3, -2)`

B

Radius of the circle is 3

C

Equation of chord of contact of tangents drawn from `(2,4)` is `5x + 6y - 18 = 0`

D

Length of tangent from (2, 4) to the circle is `sqrt(3)`

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AAKASH INSTITUTE-CONIC SECTIONS-SECTION-C
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  2. The equation (s) of circle (s) touching 12x - 5y = 7 at (1, 1) and hav...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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