Find the equation of the line for which p = 3 and ∝ = 450

1.	Find the equation of the line for which p = 3 and ∝ = 450
Answer» To Find: The equation of the line. Given: p = 3 and ∝ = 450 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 450 + y sin 450 = 3 i.e; cos 450 = cos (360 +90) = cos 90 [∵ cos(360+ x) = cos x] similarly, sin 450 = sin (360 +90) = sin 90 [∵ sin(360+ x) = sin x] hence, x cos 90 + y sin 90 = 3 x × (0)+ y ×1 = 3 Hence the required equation of the line is y = 3

Answer»

To Find: The equation of the line.

Given: p = 3 and ∝ = 450

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 450 + y sin 450 = 3

i.e; cos 450 = cos (360 +90) = cos 90 [∵ cos(360+ x) = cos x]

similarly, sin 450 = sin (360 +90) = sin 90 [∵ sin(360+ x) = sin x]

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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