Practicing Success
O is the centre of a circle of radius 10 cm. P is a point outside the circle and PQ is a tangent to the circle. What is the length (in cm) of PQ if the length OP is 26 cm? |
$2 \sqrt{194}$ 20 25 24 |
24 |
According to the question \( {PQ }^{2 } \) = \( {OP }^{2 } \) + \( {OQ }^{2 } \) ⇒ \( {PQ }^{2 } \) = \( {26 }^{2 } \) + \( {10 }^{2 } \) ⇒ \( {PQ }^{2 } \) = 676 - 100 ⇒ \( {PQ }^{2 } \) = 576 ⇒ PQ = 24 cm The length of PQ is 24 cm. |