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AB is the diameter of a circle with cent...

AB is the diameter of a circle with centre O. A line PQ touches the given circle at point R and cuts the tangents to the circle through A and B at points P and Q respectively. Prove that `/_POQ=90^(@)`

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`/_POQ=90^(@)`
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ICSE-TANGENTS AND INTERSECTING CHORDS-EXERCISE 18 (C)
  1. AB is the diameter of a circle with centre O. A line PQ touches the gi...

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  2. Prove that , Of any two chords of a circle, show that the one which is...

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  3. OABC is a rhombus whose three vertices. A, B and C lie on a circle wit...

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  4. Two circles with centres A and B and radii 5 cm and 3 cm, touch each o...

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  5. Two chords A B and A C of a circle are equal. Prove that the centre of...

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  6. The diameter and a chord of a circle have a common end point. If the l...

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  7. ABCD is a cyclic quadrilateral in which BC is paralleld to AD, angle A...

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  8. In the given figure, C and D are points on the semi circle described o...

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

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

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

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

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

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

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

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

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

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

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

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

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

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