Q19 of 169 Page 656

Find the angle between the lines whose slopes are and .

To find out the angle between two lines, the angle is equal to the difference in θ.

The slope of a line = tanθ =


So slope of the first line =


The slope of the second line =


Now the difference between the two lines is θ1-θ2


= 60°-30°


= 30°


More from this chapter

All 169 →
17

The vertices of a quadrilateral are A(-4, -2), B(2, 6), C(8, 5) and D(9, -7). Using slopes, show that the midpoints of the sides of the quad. ABCD from a parallelogram.

 18

Find the slope of the line which makes an angle of 300 with the positive direction of the y-axis, measured anticlockwise.

 20

Find the angle between the lines whose slopes are and

21

If A(1, 2), B(-3, 2) and C(3, 2) be the vertices of a ΔABC, show that

(i) tan A = 2


(ii)


(iii)