MENU
Question -

A line passes through a point A (1, 2) and makes an angle of 600 with the x–axis and intercepts the line x + y = 6 at the point P. Find AP.



Answer -

Given:

(x1, y1)= A (1, 2), θ = 60°

Let us find thedistance AP.

By using the formula,

The equation of theline is given by:

Here, r represents thedistance of any point on the line from point A (1, 2).

The coordinate of anypoint P on this line are (1 + r/2, 2 + √3r/2)

It is clear that, Plies on the line x + y = 6

So,

The value of AP is3(√3 – 1)

Comment(S)

Show all Coment

Leave a Comment

Free - Previous Years Question Papers
Any questions? Ask us!
×