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KVPY2014MathematicsProperties of Triangles

In a triangle A B C with A=90^ , P is a point on B C such that P A: P B=3: 4 . If A B= 7 and A C= 5 , then BP : PC is

Options

  1. A2: 1
  2. B4: 3
  3. C4: 5
  4. D8: 7

Correct answer

A. 2: 1

Step-by-step solution

Equation of line A B is x 7 + y 5 =1 Let P [ , 5 (1- 7 ) ] on solving 16( PA ) 2=9( ~PB ) 2P [ 7 3 , 2 5 3 ] Let BP : PC = : 1 then =2 BP : PC =2: 1

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