The equation of the line having normal distance 2a from the origin and...
We know that, If p is the length of the normal from origin to a line and w is the angle made by the normal with the positive direction of x-axis then the equation of the line is given by xcosw + ysinw = p.
Here, p=2a units and w=60°
Thus, the required equation of the given line is
xcos60° + ysin60° = 2a
x(1/2) + y(√3/2) = 2a
x + √3y = 4a
View all questions of this testThe equation of the line having normal distance 2a from the origin and...
We know that, If p is the length of the normal from origin to a line and w is the angle made by the normal with the positive direction of x-axis then the equation of the line is given by xcosw + ysinw = p.
Here, p=2a units and w=60°
Thus, the required equation of the given line is
xcos60° + ysin60° = 2a
x(1/2) + y(√3/2) = 2a
x + √3y = 4a
The equation of the line having normal distance 2a from the origin and...
X + √3y = 4a , bcoz eqn is given by
x cosθ + y sinθ = p
where theta is the angle made by the line with the positive direction of x-axis and p is the perpendicular distance of the line from the origin.
Now substitute the values and get the answer.