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CBSE Class 10 - Mathematics: Questions and Answers Chapter β 10 Circles Part 11
Question 29:
In the given figure, ABCD is a cyclic quadrilateral and PQ is a tangent to the circle at C. If BD is a diameter, and , find .
Answer:
is a diameter
[Angle in the semi-circle]
Question 30:
Two chords AB and CD of a circle intersect each other at P outside the circle. If cm, and , find .
Answer:
[length of tangent from P]
Question 31:
In the adjoining figure, if AD, AE, and BC are tangents to the circle at D, E and F respectively, then prove that .
Answer:
Now
Question 32:
In figure, PA and PB are tangents from P to the circle with center O. R is a point on the circle, prove that .
Answer:
Since length of tangents from an external point to a circle are equal in length
And
Now
Question 33:
The length of tangents from a point A at distance of from the centre of the circle is , what will be the radius of the circle?
Answer:
Since tangents to a circle is perpendicular to radius through the point of contact
In right , we have