Ex10.2, 6
Find the equation of the line which intersects the y-axis at a distance of 2 units above the origin and makes an angle of 30° with the positive direction of the x-axis.
Line AB intersects the y-axis 2 units above origin
At y-axis, x will always 0,
∴ Line AB cuts y-axis at P (0,2)
Also, line AB makes an angle of 30° with the x-axis
∴ Slope = tan θ
m = tan 30°
= 1/√3
We know that equation of line passing through (x0, y0)
& having slope m is
(y – y0) = m(x – x0)
Here x0 = 0 , y0 = 2
& m = 1/√3
Putting values
(y – y0) = m(x – x0)
(y – 2) = 1/√3 (x – 0)
(y – 2) = 1/√3 x
√3(y – 2) = x
√3y – 2√3 = x
√3y – x – 2√3 = 0
Hence, the required equation is √3y – x – 2√3 = 0
Made by
Davneet Singh
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo
Hi, it looks like you're using AdBlock :(
Displaying ads are our only source of revenue. To help Teachoo create more content, and view the ad-free version of Teachooo... please purchase Teachoo Black subscription.
Please login to view more pages. It's free :)
Teachoo gives you a better experience when you're logged in. Please login :)
Solve all your doubts with Teachoo Black!
Teachoo answers all your questions if you are a Black user!