Mathematics
Calculate the ratio in which the line segment A(6, 5) and B(4, -3) is divided by the line y = 2.
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Find the sum of n terms of the sequence : 5 + 55 + 555 + …….
Find the equations of the diagonals of a rectangle whose sides are x + 1 = 0, x - 4 = 0, y + 1 = 0 and y - 2 = 0.
What point on x-axis is equidistant from the points (6, 7) and (4, -3) ?
The line 4x + 5y + 20 = 0 meets x-axis at point A and y-axis at point B. Find :
(i) the coordinates of points A and B.
(ii) the co-ordinates of point P in AB such that AB : BP = 5 : 3.
(iii) the equation of the line through P and perpendicular to AB.