Home/ Questions/Q 4914
In Process
Adv
deepaksoni
  • -2
Guru
Asked: 2021-04-16T02:18:57+05:30 In:

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
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.

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

circlesicseml aggarwal
Share

    1 Answer

    1. Guru

      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

      • 5
    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

    Adv