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 ?
Answer & explanation
Correct answer: option 1
Here PX is the tangent makes 90 degrees angle with the radius.
In triangle OPX,
OP = 10 cm
OX = 26 cm
Apply Pythagoras theorem
\( { OX}^{2} \) = \( {OP }^{2 } \) + \( {PX }^{ 2} \)
= \( { 26}^{2} \) = \( {10 }^{2 } \) + \( {PX }^{ 2} \)
= \( {PX }^{ 2} \) = 676 - 100
= \( {PX }^{ 2} \) = 576
= PX = 24 cm
Therefore, PX is 24 cm.