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`triangleABC` is an isosceles triangle in which AB=AC, circumscribed about a circle. Prove that the base is bisccted by the point of contact.

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NAGEEN PRAKASHAN-CIRCLES-Exercise
  1. If the sides of a quadrilateral ABCD touch a circle prove that AB+CD...

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  2. Prove that the tangents drawn at the ends of a diameter of a circle...

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  3. triangleABC is an isosceles triangle in which AB=AC, circumscribed abo...

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  4. PQR is a right angled triangle at Q with QR =12 a=cm and PQ=5cm. A cir...

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  5. In the given figure quadrilateral ABCD is circumscribed and AD|DC. Fin...

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  6. In the given figure O is the centre of the circle and AB is a tangent ...

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  7. From a point P, two tangents PA and PB are drawn such that PA=9 cm and...

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  8. From an external point P, tangents PA and PB are drawn to a circle. CE...

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  9. In the giben figure, AB is the diameter of the circle, with centre O a...

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  10. In the given figure, PA and PB are tangents to a circle with centre O....

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  11. In the given figure two concentric circles with centre O are of radii ...

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  12. In quadrilateral ABCD, angle D=90^(@),BC=38 cm and dc=25 cm. A circle ...

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  13. Two tangent segments BC and BD are drawn to a circle with centre O and...

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  14. Prove that in two concentric circles, the chord of the larger circle w...

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  15. From a point P, two tangents PA and PB are drawn to a circle with cent...

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  16. The incircle of an isoceles triangle ABC, with AB=AC, touches the side...

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  17. In the given figure, a triangle ABC is drawn to circumscribe a circle ...

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  18. A circle is inscribed in a triangleABC having sides 8 cm, 10 cm and 12...

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  19. In figure, DE and DF are tangents from an external point D to a circle...

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  20. In a hexagon ABCDEF circumscribe a circle, prove that AB+CD+EF=BC+DE+F...

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