Question
A straight line passes through a point A (1, 2) and makes an angle 60^{o}with the xaxis. This line intersects the line x + y = 6 at the point P. find AP.

None of these



easy
Solution
Let required line be
∴ P is (1 + cos 60^{o}, 2 + r sin 60^{o}) which lies on x + y = 6
SIMILAR QUESTIONS
All chords of the curve 3x^{2} – y^{2} –2x + 4y = 0 that subtends a right angle at the origin, pass through a fixed point whose coordinate is –
In a triangle ABC, and point A lies on line y = 2x + 3 where Area of is such that [âˆ†] = 5. Possible coordinates of âˆ† is/are –
then the point (x, y) lies on same side of the line 2x + y – 6 = 0 as the point –
Find the area of the quadrilateral with vertices (3, 3), (1, 4), (–2, 1), (2, –3).
A straight line segment of length ‘p’ moves with its ends on two mutually perpendicular lines. find the locus of the point which divides the line in the ratio 1:2.
Find the acute angle between the two lines with slopes 1/5 and 3/2.
If a line has a slope = ½ and passes through (–1, 2); find its equation.
If a line has a slope 1/2 and cuts off along the positive yaxis of length 5/2 find the equation of the line.
If a line passes through two points (1, 5) and (3, 7) find its equation.
Find the equation of the straight line, which passes through the point (3, 4) and whose intercept on yaxis is twice that on xaxis.