Question

A straight line whose inclination with the positive direction of the X-axis measured in the
TC
anti-clockwise sense is makes positive intercept on the Y-axis. If the straight line is at a
3
distance of 4 from the origin, find its equation.​

Answer 1

Answer:

line segment is the correct answer

Answer 2

Step-by-step explanation:

Answer

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sprao534

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Answer:

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