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Question

To construct a triangle similar to given ΔABC with its sides 35 of that of ΔABC, a ray BX is drawn at acute angle with BC. How many minimum no. of points should be marked on BX?

A
2
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B
3
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C
4
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D
5
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Solution

The correct option is D 5
Suppose PQB is the required triangle.
BQ=35×BCPQ=35×(BQ+QC)5BQ=3BQ+3CQ2BQ=3CQ, i.e, BQCQ=32
Therefore, Q divides BC in ratio 3:2. So, minimum number of points required on ray BX=2+3=5

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