Find the equation of the line for which p = 4 and ∝ = 1800

1.	Find the equation of the line for which p = 4 and ∝ = 1800
Answer» Given: p = 4 and ∝ = 1800 Here p is the perpendicular that makes an angle ∝ with positive direction of x-axis, hence the equation of the straight line is given by: Formula used: x cos ∝ + y sin ∝ = p x cos 1800 + y sin 1800 = 4 i.e; cos 1800 = cos (5 × 360) = cos(5 × 2π )= cos 360 = 1 similarly, sin 1800 = sin (5 × 360) = sin(5 × 2π )= sin 360 = 0 hence, x × 1+ y ×0 = 4 Hence The required equation of the line is x = 4.

Answer»

Given: p = 4 and ∝ = 1800

Here p is the perpendicular that makes an angle ∝ with positive direction of x-axis, hence the equation of the straight line is given by:

Formula used:

x cos ∝ + y sin ∝ = p

x cos 1800 + y sin 1800 = 4

i.e; cos 1800 = cos (5 × 360) = cos(5 × 2π )= cos 360 = 1

similarly, sin 1800 = sin (5 × 360) = sin(5 × 2π )= sin 360 = 0

hence, x × 1+ y ×0 = 4

Hence The required equation of the line is x = 4.

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