question_answer

If the length of a chord of a circle at a distance of 12 cm from the centre is 10 cm, then the diameter of the circle is

A) 13 cm

B) 15 cm

C) 26 cm

D) 30 cm

Correct Answer: C

Solution :

[c] In \[\Delta OPM,\]             \[O{{P}^{2}}=P{{M}^{2}}+O{{M}^{2}}=25+144=169\]             \[\Rightarrow \]   \[OP=13\] \[\therefore \]Diameter of circle \[=2\,OP=2\times 13=26\,cm\]