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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 15
Let the equation of required line be
xa+yb=1

Since 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 2:3
Cordinates of P is (2,6)
2=0+3a5,6=2b+05

a=103,b=15

So equation of line becames
3x10+y15=1

So y-intercept is 15.

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