Q20 of 169 Page 656

Find the angle between the lines whose slopes are and

We know that if slope of two lines are m1 and m2 respectively, then the angle between them is given by

Here and

Where θ is the angle between two lines.

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

Find the angle between the lines whose slopes are and .

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)

If θ is the angle between the lines joining the points (0, 0) and B(2, 3), and the points C(2, -2) and D(3, 5), show that .