Share
Notifications

View all notifications
Advertisement

In the Figure, Ab is Common Chord of the Two Circle. If Ac and Ad Are Diameters; Prove that D, B and C Are in a Straight Line. O1 and O2 Are the Centres of Two Circles. - Mathematics

Login
Create free account


      Forgot password?

Question

In the figure, AB is common chord of the two circle. If AC and AD are diameters; prove that D,
B and C are in a straight line. O1 and O2 are the centres of two circles.

Solution

    ∠DBA = 90° and ∠CBA = 90°

   (Angles in a semicircle is a right angle) Adding both we get,
   ∠DBC = 180°
∴ D, B and C form a straight line.

  Is there an error in this question or solution?
Advertisement

APPEARS IN

 Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 17: Circles
Exercise 17(A) | Q: 6 | Page no. 258
Advertisement
In the Figure, Ab is Common Chord of the Two Circle. If Ac and Ad Are Diameters; Prove that D, B and C Are in a Straight Line. O1 and O2 Are the Centres of Two Circles. Concept: Chord Properties - a Straight Line Drawn from the Center of a Circle to Bisect a Chord Which is Not a Diameter is at Right Angles to the Chord.
Advertisement
View in app×