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Let C be the circle with centre (0,0) an...

Let C be the circle with centre (0,0) and radius 3. Show that he equation of the locus of the mid points of the chord of the circle C that subtend an angle `(2pi)/3` at its centre is `x^(2)+y^(2)=9/4`.

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AAKASH SERIES-CIRCLES-ADDITIONAL EXERCISE
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  12. Let C be the circle with centre (0,0) and radius 3. Show that he equat...

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  13. From the origin chords are drawn to the circle (x-1)^(2)+y^(2)=1. Show...

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  14. Through a fixed point (h,k) secants are drawn to the circle x^(2)+y^(2...

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  15. Show that the area of the triangle formed by the tangents from the poi...

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  16. Tangents are drawn from each point on the line 2x+y=4 to the circle x...

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  17. Show that the equation of the locus of the mid points of the chords of...

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  18. Show tha the tangents drawn from the origin in to the circle x^(2)+y^(...

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  19. Let a circle be given by 2x(x-a)+y(2y-b)=0, ab!=0. Show that the con...

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  20. Two tangents are drawn from a point P to the circle x^(2)+y^(2)+2gx+2...

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