Question

A straight line meets the coordinate axes in A and B. Find the equation of the straight line, when
(1) AB is divided in the ratio 2:3 at (-5,2)
(11) AB is divided in the ratio 1:2 at (-5,4)
(iii) (p, q) bisects AB​

Answer 1

Step-by-step explanation:

Let A(α,0),B(0,β)

By section formula,

−5=

5

3α

⇒α=

3

−25

and 2=

5

2β

⇒β=5

⇒ By intercept form, equation of a line

α

x

+

β

y

=1

⇒

−25

3(x)

+

5

y

=1

⇒−3x+5y=25.

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