Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

A pair of tangents AB and AC are drawn from a point which is at a distance of 13 cm from the center O of a circle of radius 5 cm, then the area in cm2 of quadrilateral ABOC is?

Options:

60 cm2

48 cm2

36 cm2

30 cm2

Correct Answer:

60 cm2

Explanation:

OB ⊥ AB, right angle at B

Therefore, in right angle triangle, using triplets = 5, 12, 13

Area of quadrilateral ABOC = 2 × Area of ΔABO

                                           = 2 × \(\frac{1}{2}\) × 5 × 12

                                           = 60 cm2