Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

A circle is inscribed in a quadrilateral ABCD touching sides AB, BC, CD and DA at the points P, Q, R and S respectively. If BP = 5 cm, SD = 7 cm and BC = 8 cm, then the length of DC is?

Options:

8

10

11

13

Correct Answer:

10

Explanation:

Tangents of a circle from same point is equal

BP = BQ = 5

CQ = CR = 3

SD = RD = 7

DC = DR + RC = 7 + 3 = 10 cm