Find the equation of the line for which p = 8 and ∝ = 1500

1.	Find the equation of the line for which p = 8 and ∝ = 1500
Answer» Given: p = 8 and ∝ = 1500 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 1500 + y sin 1500 = 8 i.e; cos 1500 = cos ((4×360) +60) = cos((4×2π )+60) = cos 60 similarly, sin 1500 = sin ((4×360) +60) = sin((4×2π )+60) = sin 60 x × (1/2)+ y × (√3/2) = 8 Hence The Required equation of the line is x + √3 y = 16.

Answer»

Given: p = 8 and ∝ = 1500

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 1500 + y sin 1500 = 8

i.e; cos 1500 = cos ((4×360) +60) = cos((4×2π )+60) = cos 60

similarly, sin 1500 = sin ((4×360) +60) = sin((4×2π )+60) = sin 60

x × (1/2)+ y × (√3/2) = 8

Hence The Required equation of the line is x + √3 y = 16.

Discussion