Question

Fing lenth of AP in the following gigure

Answer 1

Let BD=x; so CD=4-x

Since tangents from an exterior point to a circle are equal, we have AP=AQ

rightwards double arrow A B plus B P equals A C plus C Q rightwards double arrow A B plus B D equals A C plus C D rightwards double arrow 5 plus x equals 6 plus 4 minus x rightwards double arrow x plus x equals 6 plus 4 minus 5 rightwards double arrow 2 x equals 10 minus 5 rightwards double arrow 2 x equals 5 rightwards double arrow x equals 5 over 2 equals 2.5 S i n c e space A P equals A B plus B P rightwards double arrow A P equals 5 plus B D rightwards double arrow A P equals 5 plus 2.5 rightwards double arrow A P equals 7.5 space c m

Hope u got it