Multiple choice

PX is a tangent drawn from point X, touches the circle at P. O is the centre of the circle. Radius of this circle is 10 cm and OX=26 cm. What is the length of PX ?

  1. 24.5 cm

  2. 24 cm

  3. 23.5 cm

  4. 25 cm

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In a right triangle, the tangent is perpendicular to the radius at the point of contact. Using Pythagoras: PX² + OP² = OX², so PX = √(26² - 10²) = √(676 - 100) = √576 = 24 cm.