Question

4. Find the equation of the line intersecting the y- axis at a distance of 3 units above the
origin and tan 2
1 i = , where i is the angle of inclinatio

Answer 1

line intersecting the y- axis at a distance of 3 units above the
origin.so, we take y - intercept = 3 .

Given, tani = 1/2 ,here i the angle of inclination.
so, tani = 1/2 = slope of required line.

Now, equation of line : y = mx + c
Here m is slope of line and c is y - intercept.
put m = 1/2 and c = 3
So, y = x/2 + 3
2y = x + 6
x - 2y = 6 is the equation of required line

Answer 2

Solution :

It is given that ,

The line intersecting the y-axis at

a distance of 3 units above the

origin and

tan i = 1/2

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Equation of the line whose

slope = m , y-intercept = c ,

y = mx + c

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Here ,

slope (m)= tan i = 1/2

y-intercept (c )= 3 ,

Required equation ;

y = ( 1/2 )x + 3

multiply each term with 2 , we get

=> 2y = x + 6

=> x - 2y + 6 = 0

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