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Prove that the circle drawn on any one o...

Prove that the circle drawn on any one of the equal sides of an isosceles triangle as diameter bisects the base.

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ICSE-TANGENTS AND INTERSECTING CHORDS-EXERCISE 18 (C)
  1. In the given figure, C and D are points on the semi circle described o...

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  2. In cyclic quadrilateral ABCD,/A=3/C and /D=5 /B. Find the measure of e...

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  3. Prove that the circle drawn on any one of the equal sides of an iso...

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  4. Bisectors of vertex angles A, B and C of a triangle ABC intersect its ...

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  5. In the figure AB is the chord of a circle with centre O and DOC is a l...

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  6. Prove that the perimeter of a right triangle is equal to the sum of th...

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  7. . Prove that the tangent drawn at the mid-point of an arc of a circle ...

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  8. In the given figure, MN is the common chord of two intersecting circle...

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  9. In the given figure, ABCD is a cyclicquadrilateral, PQ is tangent to t...

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  10. The given figure shows a circle with centre O and BCD is tangent to it...

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  11. ABC is a right triagle with angle B=90^(@) . A circle with BC as diame...

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  12. In the given figure AC=AE Show that (i) CP=EP (ii) BP=DP

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  13. ABCDE is a cyclic pentagon with centre of its circumcircle alt point O...

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  14. In the given figure O is the centre of the circle. Tangents at A and B...

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  15. ABC is a triangle with AB=10cm, BC=8cm and AC=6cm (not drawn to scale)...

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  16. The given figure shows a semi circle with centre O ane diameter PQ. If...

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  17. The given figure shows a circle with centre O such that chord RS is pa...

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  18. In the given figure PAT is tangent to the circle with centre O, at poi...

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  19. AB is a line segment and M is its mid point. Three semi circles are dr...

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  20. TA and TB are tangents to a circle with centre O from an external poin...

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