CAT 2018 Geometry & Mensuration Question (Hard)

Question

On a triangle ABC, a circle with diameter BC is drawn, intersecting AB and AC at points P and Q, respectively. If the lengths of AB, AC, and CP are 30 cm, 25 cm, and 20 cm respectively, then the length of BQ, in cm, is

Optima Learn · Accepted Answer

Step 1 Given - AB 30 - AC 25 - CP 20 A circle with diameter BC intersects AB at P and AC at Q. Step 2 From triangle BPC right-angled at P Let BP 10, CP 20 Then Step 3 Let CQ 6 Then Try a better fit. If BC 30 i.e. BP 10, CP 20 Then try CQ 6 so Final Answer cm

CAT 2018 Geometry & Mensuration — Previous Year Question

CAT 2018

Quantitative

Geometry & Mensuration

Hard

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