Find the equation of the line for which p = 3 and ∝ = 2250

1.	Find the equation of the line for which p = 3 and ∝ = 2250
Answer» Given: p = 3 and ∝ = 2250 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 2250 + y sin 2250 = 3 i.e; cos 2250 = cos ((6×360) +90) = cos((6×2π )+ 90) = cos 90 similarly, sin 2250 = sin ((6×60) + 90) = sin((6×2π ) +90) = sin 90 hence, x cos 90 + y sin 90 = 3 x × (0)+y ×1 = 3 Hence The required equation of the line is y = 3

Answer»

Given: p = 3 and ∝ = 2250

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 2250 + y sin 2250 = 3

i.e; cos 2250 = cos ((6×360) +90) = cos((6×2π )+ 90) = cos 90

similarly, sin 2250 = sin ((6×60) + 90) = sin((6×2π ) +90) = sin 90

hence, x cos 90 + y sin 90 = 3

x × (0)+y ×1 = 3

Hence The required equation of the line is y = 3

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