Question

Consider the above figure and read the following statements. 
Statement 1: The length of the tangent drawn from the point P to the circle is 24 centimetres. If OP is 25 centimetres, then the radius of the circle is 7 centimetres. 
Statement 2: A tangent to a circle is perpendicular to the radius through the point of contact. 
Now choose the correct answer from those given below. 

 

• A. Statement 1 is true, statement 2 is false
• B. Statement 1 is false, statement 2 is true
• C. Both statements are true, statement 2 is the reason of statement 1
• D. Both statements are true, statement 2 is not the reason of statement 1

Hint:

In assertion-reason questions, carefully consider the link. "Reason" implies a direct logical deduction. Here, Statement 2 (perpendicularity) -> enables use of Pythagorean Theorem -> which leads to the result in Statement 1. Some might see this as a direct chain (making C correct), while others might see the Pythagorean theorem as the more immediate reason (making D correct). These questions can be ambiguous; it's important to understand the expected level of reasoning.

Answer 1

The Correct Option is D