CAT 2019 Geometry & Mensuration Question (Hard)

Question

AB is a diameter of a circle of radius 5 cm. Let P and Q be two points on the circle so that the length of PB is 6 cm, and the length of AP is twice that of AQ. Then the length, in cm, of QB is nearest to

Accepted Answer

! https optima-learn.b-cdn.net quantPyqImages img_1751025803890_0.jpg Step 1 Let O be the center of the circle. AB is a diameter AB 10 cm Given PB 6, and AP 2 AQ Let AQ AP In triangle ABP, use the cosine rule or coordinate geometry, but better to apply Stewart s Theorem or Law of Cosines. Use coordi

CAT 2019

Quantitative

Geometry & Mensuration

Hard

AB is a diameter of a circle of radius 5 cm. Let P and Q be two points on the circle so that the length of PB is 6 cm, and the length of AP is twice that of AQ. Then the length, in cm, of QB is nearest to

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