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A circle passes through three points A, ...

A circle passes through three points A, B and C with the line segment AC as its diameter. A line passing through A intersects the chord BC at a point D inside the circle.If angles DAB and CAB are `alpha` and `beta` respectively and the distance between the point A and the mid-point of the line segment DC is d, prove that the area of the circle is `(pid^2cos^2a)/(cos^2alpha+cos^2beta+2cosalphacosbetacos(beta-alpha)`

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VMC MODULES ENGLISH-CIRCLES-JEE ADVANCED ( ARCHIVE )
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  2. about to only mathematics

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  7. If the two circles (x+1)^2+(y-3)^2=r^2 and x^2+y^2-8x+2y+8=0 intersect...

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  9. A circle S passes through the point 90,1) and is orthogonal to the cir...

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  10. Let ABCD be a square of side length 2 units. C2 is the circle through ...

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  11. A circle touches the line L and the circle C(1) externally such that b...

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  12. ABCD is a square of side length 2 units. C(1) is the circle touching ...

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  13. Match the conditions // expression in Column I with statement in Colum...

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  14. Let C1and C2 be two circles with C2 lying inside C1 A circle C lying i...

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  15. Three circles touch one another externally. The tangents at their poin...

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  16. A Tangent PT is drawn to the circle x^2 + y^2 =4 at point p(sqrt(3),1)...

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

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  18. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

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  19. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

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