Class 9 | Chapter 10 | Circles | Exercise 10.5 | Question 11

Class 9 | Chapter 10 | Circles | Exercise 10.5 | Question 11

Question 11: ABC and ADC are two right triangles with common hypotenuse AC. Prove that ∠CAD = ∠CBD.

This question is not correct!!!

While visualising the different scenarios of this question, I realised that there is something wrong in this question. This question is not correct for all possible scenarios, hence NCERT team need to fix this question.

There are three possible scenarios on the basis of the statement. There is one scenario out of three possible scenarios for which this statement is not valid.

It is request to the readers to share this question so that it reaches NCERT team and necessary changes are made.

Prerequisite

You must be aware of the following theorems to solve this question:

  • Same segment angles are always equal
  • Angle in a semicircle is a right angle

Theorem 10.9: Angles in the same segment of a circle are equal.

 

Angle in a semicircle is a right angle

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