Circles · Class 10 · CBSE Mathematics
From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. The radius of the circle is:
Practice question from Circles (Class 10 · CBSE Mathematics), with the correct answer and a step-by-step solution.
easy · MCQ · Q-9A1C05
From a point Q, the length of the tangent to a circle is cm and the distance of Q from the centre is cm. The radius of the circle is:
- A. cmCorrect answer
- B. cm
- C. cm
- D. cm
Solution
Let the centre be O and the point of contact be P. Then OP is perpendicular to PQ. In right-angled triangle OPQ, by Pythagoras theorem, . Substituting the values, , which gives . Thus, , so cm.
More from Circles
- If tangents PA and PB from a point P to a circle with centre O are inclined to each other at an angle of 80^{circ}, then angle POA is equal…
- If TP and TQ are the two tangents to a circle with centre O so that angle POQ = 110^{circ}, then angle PTQ is equal to:
- A quadrilateral ABCD is drawn to circumscribe a circle. If AB = 6 cm, BC = 7 cm, and CD = 4 cm, then the length of AD is:
- The maximum number of parallel tangents a circle can have on a given tangent line is:
Practise more Mathematics
Sign up free for adaptive practice on this chapter, with instant feedback and hints on every question.
Start practising freeFree to start · No credit card needed