Question

A straight line whose inclination with the positive direction of the X-axis measured in the anticlockwise sense is π/3 makes positive intercept on the Y-axis if the straight line is at a distance of 4units from the origin. find it's equation​

Answer 1

Required equation is y = √3x + 4.

Step-by-step explanation:

Given:

Line makes π/3 angle with positive direction of x-axis measured anti-clockwise.

Line also make positive intercept on y-axis.

line is at distance of 4 unit from origin.

To find: Equation of line.

We use Slope-intercept form to write the equation.

y = mx + c where m is slope of line and c is y-intercept.

here,

y-intercept = 4   ⇒ c = 4

Thus, Equation is  y = √3x + 4

Therefore, Required equation is y = √3x + 4.

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Answer 2

Answer:

hope it helps u.....Aakash

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