AP ICET 2017 Shift 2 Paper

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Question : 117 of 200

Marks: +1, -0

If the line through the points

(7.-2)

and

(4.-5)

cuts the coordinate axes at A and B then the length AB is

9
$9√2$
18
$18√2$

Solution:

Equation of line through the point (7, –2) and (4, –5) :

y+5={-5+2}/{4+7}(x-4)

⇒y+5=x–4

⇒x–y–9=0

For

y=0,x=9\A=(9,0)

For

x=0,y=–9\B=(0,–9)

∴AB=√{(-9)^2+(-9)^2}=9√2

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