Question

27. If a = 1/(3−√11)and b = 1/a, then find a2

– b2​

Answer 1

Step-by-step explanation:

Given ,

AB and CD are two parallel tangents at the point P and Q of a circle with centre O.

To prove - POQ is a diameter of the circle.

Construction - Join OP and OQ and draw .

Proof √ APQ + √ TOP = 90°

Similarly, √ TOQ = 90° + 90° = 180°

Since , POQ is straight line.

Hence , POQ is a diameter of the circle with centre O.