SSC
Quantitative Aptitude
Circular Measurement
Question Bank
Circle and Its Properties (II)
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 \[=2\,OP=2\times 13=26\,cm\]