The vertices of a ΔABC are A(3, 8), B(–1, 2) and C(6, –6). Find:
(i) Slope of BC
(ii) Equation of a line perpendicular to BC and passing through A.
A line 5x + 3y + 15 = 0 meets y – axis at point P. Find the co-ordinates of points P. Find the equation of a line through P and perpendicular to x – 3y + 4 = 0.
A line intersects x-axis at point (−2, 0) and cuts off an intercept of 3 units from the positive side of y-axis. Find the equation of the line.
The given figure (not drawn to scale) shows two straight lines AB and CD. If equation of the
line AB is :
Y = x + 1 and equation of line CD is:
y = `sqrt3 x – 1`. Write down the inclination of lines AB and CD; also, find the angle θ between AB
The vertices of a triangle ABC are A (0, 5), B (−1, −2) and C (11, 7). Write down the equation of BC Find :
(i)the equation of line through A and perpendicular to BC.
(ii) the co-ordinates of the point P, where the perpendicular through A, as obtained in (i), meets