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Question

# A straight lines passes through the point P(2,6) and cuts the X-axis and Y-axis at A and B respectively, so that APBP=23 . the length of the y- intercept of the line is :

A
3.33
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B
0.3
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C
15
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D
6.5
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Solution

## The correct option is C 15Let the equation of required line be xa+yb=1Since the line cuts the cordinate axes at A and B so cordinate of A and B are (a,0) and (0,b) respectively.As point P divides the line segment in ratio 2:3Cordinates of P is (2,6)∴2=0+3a5,6=2b+05→a=103,b=15So equation of line becames3x10+y15=1So y-intercept is 15.

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