1.

Find the equation of a straight line which passes through the point (1, - 3) and makes an intercept on y-axis twice as long as on x-axis.​

Answer»

Answer:

INTERCEPT FORM of equation of line is given by:

a

x

+

b

y

=1, where a is x-intercept and b is y-intercept

Now, we are given that b=2a

⇒ equation of line is given by 2x+y=2a

Distance of this line from origin is 1 units.

Applying the formulae for distance of a POINT from a line, and EQUATING it to 1, we get

∣

2

2

+1

2

−2a

∣=1

⇒ 2a=+

5

and −

5


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