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Show that the common tangents to the cir...

Show that the common tangents to the circles `x^(2)+y^(2)-6x=0andx^(2)+y^(2)+2x=0` form an equilateral triangle.

A

`x = 1`

B

`x = 0`

C

`x + sqrt(3)y + 3 = 0`

D

`x - sqrt(3)y + 3 = 0`

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The correct Answer is:
B, C, D
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AAKASH INSTITUTE ENGLISH-CONIC SECTIONS-SECTION-C
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  2. about to only mathematics

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  3. Show that the common tangents to the circles x^(2)+y^(2)-6x=0andx^(2)+...

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  6. The positive integral value of lambda, for which line 4x + 3y - 16lam...

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  7. If the area of a quadrilateral formed by the tangents from the origin ...

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  8. If (a cos theta(1), a sin theta(1)), ( a cos theta(2), a sin theta(2))...

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  9. Equation of tangents drawn from (0, 0) to x^(2) + y^(2) - 6x -6y + 9 =...

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  10. The locus of the centre of the circle which moves such that it touches...

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  11. If a point (a, sqrt(a)) lies in region bounded between the circles x^(...

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  13. C(1) and C(2) are two concentric circles, the radius of C(2) being tw...

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

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

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

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

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

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