## Slot -2 – Quantitative Aptitude – Geometry – Triangles – A triangle ABC has area 32 sq units

A triangle ABC has area 32 sq units and its side BC, of length 8 units, lies on the line x = 4. Then the shortest possible distance between A and the point (0,0) is?

a) 4√2 units

b) 8 units

c) 4 units

d) 2√2 units

Solution: The distance OA will be minimum when the perpendicular from A on BC will pass through O. Area of triangle ABC = 1/2 BC×AD = 1/2×8×(AO+OD ) = 4×(AO+4)
32 = 4AO+16
AO = 4
So required minimum distance = 4

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## Slot -2 – Quantitative Aptitude – Geometry – Triangles – On a triangle ABC, a circle with diameter BC

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?

Solution: As CP is perpendicular to AB and BQ is perpendicular to AC. So

AB×CP=AC×BQ

30×20=25×BQ

BQ = 24 cm

## Online Coaching Course for CAT Exam Preparation

a) 750+ Videos covering entire CAT syllabus
b) 2 Live Classes (online) every week for doubt clarification
c) Study Material & PDFs for practice and understanding
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e) Previous Year Questions solved on video