Adv
deepaksoni
  • -2
Guru

Question 25. In the adjoining figure, ABCD is a cyclic quadrilateral.The line PQ is the tangent to the circle at A. If ∠CAQ : ∠CAP = 1 : 2, AB bisects ∠CAQ and AD bisects ∠CAP, then find the measure of the angles of the cyclic quadrilateral. Also prove that BD is a diameter of the circle.

  • -2

This is the basic and conceptual question from Chapter name- circles
Topic – Angle properties of circles
Chapter number- 15

In this question we have a cyclic quadrilateral and tangent PQ to it.

Also <CAQ : ∠CAP = 1 : 2 and AB bisects ∠CAQ and AD bisects ∠CAP,

Now we have to find the angles of quadrilateral. Also prove that BD is a diameter of circle.

ICSE Avichal publication
Understanding ICSE Mathematics
Question 25

Share

1 Answer

  1. Solution:
    ABCD is a cyclic quadrilateral.
    PAQ is the tangent to the circle at A.
    ∠CAD : ∠CAP = 1 : 2.
    AB and AD are the bisectors of ∠CAQ and ∠CAP respectively
    ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 15 Circles Ex 15.3 Q25.2
    ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 15 Circles Ex 15.3 Q25.3

    • 3
Leave an answer

Leave an answer

Browse

Choose from here the video type.

Put Video ID here: https://www.youtube.com/watch?v=sdUUx5FdySs Ex: "sdUUx5FdySs".

Captcha Click on image to update the captcha.

Related Questions