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In a cyclic quadrilateral ABCD the diago...

In a cyclic quadrilateral ABCD the diagonal AC bisects the angle BCD. Prove that the diagonal BD is parallel to the tangent to the circle at point A.

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ICSE-TANGENTS AND INTERSECTING CHORDS-EXERCISE 18 (B)
  1. In the given figure 3xxCP=PD=9cm and AP=4.5 cm. Find BP.

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  2. In the given figure 5X PA=3X AB=30cm and PC=4 cm Find CD.

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  3. In the given figure tangent PT=12.5 cm and PA=10cm, find AB.

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  4. In the given figure diameter AB and chord CD of a circle meet at P.PT ...

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  5. In the following figure PQ is the tangent to the circle at A, DB is th...

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  6. If PQ is a tangent to the circle at R calculate (i) /PRS (i) /ROT ...

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  7. AB is the diameter and AC is a chord of a circle with centre O such th...

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  8. Tangent at P to the circumcircle of triangle PQR is drawn. If this tan...

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  9. Two circles with centres O and O'are drawn to intersect each other at ...

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  10. In the figure, two circles touch internally at point P. chord AB of th...

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  11. In a cyclic quadrilateral ABCD the diagonal AC bisects the angle BCD. ...

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  12. In the figure ABCD is a cyclic quadrilateral with BC=CD. TC is tangent...

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  13. Two circles intersect each other at points A and B. A straight line PA...

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  14. In the figure PA is a tangent to the circle, PBC is secant and AD bise...

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  15. Two circles intersect each other at point A and B. Their common tangen...

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  16. In the figure chords AE and BC intersect each other at point D (i) I...

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  17. Circles with centres P and Q intersects at points A and B as shown in...

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  18. In the adjoining figvure O is the centre of the circle and AB is a tan...

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