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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=0` and `x^2+y^2+2x=0` from an equilateral triangle.

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PATHFINDER-CIRCLE-QUESTION BANK
  1. Find the locus of the mid point of the chord of the circle x^2+y^2=a^2...

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  2. Tangents are drawn to the circle x^2+y^2=4 from P(3,4) to touch it at ...

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

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  4. Two straight lines rotate about two fixed points. If they start from t...

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  5. If two curves, whose equations are ax^2+2hxy+by^2+2gx+2fy+c=0 and a'x^...

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  6. Find the equation of the circle of minimum radius which contains the t...

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  7. The number of common tangents to the circles x^2+y^2-4x-6y-12=0 and x^...

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  8. A circle S passes through the point (0, 1) and is orthogonal to the ci...

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  9. Let C be the circle with centre at (1, 1) and radius = 1. If T is the ...

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  10. The circle passing through (1, - 2) and touching the axis of x at (3, ...

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  11. A point P lines on the circle x^2+y^2=169. If Q = (5, 12) and R= (-12,...

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  12. A circle passing through (0, 0), (2, 6), (6, 2) cuts the x-axis at the...

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  13. A point moves so that the sum of squares of its distances from the poi...

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  14. If one end of a diameter of the circle x^2+y^2-4x-6y+11=0 is (3, 4) th...

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  15. The equation of the circle passing through the point (1, 1) and the po...

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  16. The equations of the circles which touch both the axes and the line 4x...

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  17. A tangent PT is drawn to the circle x^2+y^2 =4 at the point P(sqrt3,1)...

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  18. A tangent PT is drawn to the circle x^2+y^2 =4 at the point P(sqrt3,1)...

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  19. The length of the diameter of the circle which touches the x-axis at t...

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  20. If the circles x^2 + y^2 + 2x + 2ky + 6 = 0 and x^2 + y^2 + 2ky + k = ...

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