Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

Tangent drawn from a point P, touches the circle at Q. O is the centre of this circle. If PQ = 12 cm and OQ = 5 cm, then what is the value of OP?

Options:

15 cm

$\sqrt{119} $ cm

$\sqrt{117 } $ cm

13 cm

Correct Answer:

13 cm

Explanation:

According tot the concept,

\(\angle\)OQP = \({90}^\circ\)

Hence, OP is the hypotenuse of \(\Delta \)OQP which is a right angled triangle.

Now, OP = \(\sqrt { {12 }^{2 }  + {5 }^{2 }  }\) = 13 cm

Therefore, OP is 13 cm.