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The given figure shows a circle with cen...

The given figure shows a circle with centre O and BCD is tangent to it at C. Show that
`/_ACD+/_BAC=90^(@)`

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In Figure, O is the centre of the circle and B C D is tangent to it at Cdot Prove that /_B A C+/_A C D=90^0 .

The given figure shows a circle with centre O. P is mid-point of chord AB. Show that OP is perpendicular to AB.

The given figure shows a semi circle with centre O ane diameter PQ. If PA=AB and /_BCQ=140^(@) find measures of angles PAB and AQB. Also, show that AO is parallel to BQ.

The following figure shows a circle with centre O. If OP is perpendicular to AB, prove that AP = BP.

In the given figure, AB is diameter of a circle with centre O and AT is a tangent at angleAOQ=58^@ , find angleATQ .

In the given figure AP and AQ are tangents to the circle with centre O. BC is tangent at point R on it. If OA=17 cm and radius of the circle =8cm, find the perimeter of the triangle ABC.

BC is a chord with centre O. A is a point on an arc BC . Prove that: ∠BAC−∠OBC= 90^@ .

The given figure shows a right triangle right angled at B . If angle BCA = 2 angle BAC, show that AC = 2BC

In the given figure PT touches a circle with centre O at R. Diameter SQ when produced meets PT at P. If /_SPR=x^(@) and /_QRP=y^(@) , show what x^(@)+2y^(@)=90^(@)

In the given figure AB is the diameter and AC is the chord of a circle such that /_BAC=30^(@) . The tangent at C intersects AB produced at D. Prove that :BC=BD.

ICSE-TANGENTS AND INTERSECTING CHORDS-EXERCISE 18 (C)
  1. In the given figure, MN is the common chord of two intersecting circle...

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

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

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

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

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

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

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

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

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

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

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

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

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  14. Two circles intersects in points P and Q. A secant passing through P i...

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  15. Prove that the any four vertices of a regular pentagon are concyclic (...

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  16. Chords AB and CD of a circle when extended meet at point X. Given AB =...

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  17. In the given figure find TP if AT=16 cm and AB=12 cm.

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  18. In the following figure, a circle is inscribed in th equadrilaterial A...

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  19. In the given figure, XY is the diameter of the circle and PQ is a tang...

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  20. In the given figure QAP is the tangent at point A and PBD is a straigh...

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