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Two straight lines rotate about two fixe...

Two straight lines rotate about two fixed points. If they start from their position of coincidence such that one rotates at the rate double that of the other. Then find the locus of their point of intersection of two straight lines

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PATHFINDER-CIRCLE-QUESTION BANK
  1. Tangents are drawn to the circle x^2+y^2=4 from P(3,4) to touch it at ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. Four distinct points (2k,3k),(1,0),(0,1)and(0,0) lie on a circle for

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