Question

solve the following sum with proper steps

Answer 1

Answer:

Step-by-step explanation:

Let AP be  x + 7 and BP be X ( Since AP - BP = 7 )

angle subtended by diameter on any point of circle is always 90°

There fore by pythagoras theorem,

AB² = BP² + AP²

13² = (X + 7)² + x²

169 = x² + 49 + 14 x + x²

2 x² + 14 x - 120 = 0

x² + 7 x - 60 = 0

x² + 12 x - 5 x - 60 = 0

x ( x + 12 ) -5 ( x + 12 )

(x - 5 ) ( x + 12)

x = 5 x = -12

Since distances cant be negative,

The distance AP = 12 m and BP = 5 m