Mathematics
The line 3x - 4y - 12 = 0 meets x-axis at point A and y-axis at point B.
(i) Find the co-ordinates of the point P on line segment AB dividing AB in the ratio 2 : 1.
(ii) Find the equation of the line that passes through the point P and is perpendicular to AB.
Related Questions
In the figure, given, ABC is a triangle and BC is parallel to the y-axis. AB and AC intersect the y-axis at P and Q respectively.
(i) Write the co-ordinates of A.
(ii) Find the length of AB and AC.
(iii) Find the ratio in which Q divides AC.
(iv) Find the equation of the line AC.
A line AB meets X-axis at A and Y-axis at B. P(4, -1) divides AB in the ratio 1 : 2.
(i) Find the co-ordinates of A and B.
(ii) Find the equation of the line through P and perpendicular to AB.
Find the equation of a straight line passing through the intersection of 2x + 5y - 4 = 0 with x-axis and parallel to the line 3x - 7y + 8 = 0.
If the lines represented by the equations y + (2p + 1)x + 3 = 0 and 8y - (2p - 1)x = 5 are perpendicular to each other, find p.