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

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

Quantitative

Geometry & Mensuration

Hard

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

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