# 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.

Given: (x1,y1) = A(1, 2), θ = 60°

To find:

Distance AP.

Explanation:

So, the equation of the line is

Formula Used:   Here, r represents the distance of any point on the line from point A (1, 2).

The coordinate of any point P on this line are Clearly, P lies on the line x + y = 6

1 + + 2 + = 6 = 3

r (√3 + 1) = 6

r = Therefore, AP = 3(√3 – 1)

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Various Forms of Equations of line45 mins  Slope, inclination and angle between two lines48 mins  Interactive Quiz on Equations of line23 mins  Parametric Equations of Straight line48 mins  Straight line | Analyse your learning through quiz56 mins  General Equation of a line43 mins  Motion in a Straight Line - 0665 mins  Motion in a Straight Line - 0556 mins  Motion in a Straight Line - 0372 mins  Motion in a Straight Line - 1169 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses 