Mathematics
In the figure, chords AE and BC intersect each other at point D.
(i) If ∠CDE = 90°, AB = 5 cm, BD = 4 cm and CD = 9 cm; find DE.
(ii) If AD = BD, show that : AE = BC.
Related Questions
Two circles intersect each other at point A and B. Their common tangent touches the circles at points P and Q as shown in the figure. Show that the angles PAQ and PBQ are supplementary.
![In the figure; PA is a tangent to the circle, PBC is secant and AD bisects angle BAC. Show that triangle PAD is an isosceles triangle. Also, show that ∠CAD = 1/2 [∠PBA - ∠PAB]. Tangents and Intersecting Chords, Concise Mathematics Solutions ICSE Class 10.](https://cdn1.knowledgeboat.com/img/cm10/q13-c18-ex-18-b-tangents-concise-maths-solutions-icse-class-10-1200x843.png)
In the adjoining figure, O is the center of the circle and AB is a tangent to it at point B. ∠BDC = 65°. Find ∠BAO.
AP is a tangent to the given circle. If AB = 8 cm and BC = 10 cm, then AP is :
8 cm
16 cm
12 cm
24 cm
