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Speed of train ‘A’ = 108 × (5/18) = 30 m/sec Length of train ‘A’ = 30 × 6 = 180 metres Length of train ‘B’ = 180 – 120 = 60 metres Speed of train ‘B’ = 30 + (30/10) = 33 m/sec Required time taken = (180 + 60)/(30 + 33) = 3.80 = 4 seconds
Find the coordinates of the centroid of the triangle with vertices A(1, 2), B(4, 6), and C(7, 8).
A line passes through the point (4, 3) and is perpendicular to the line 3x + 4y = 12. Find the equation of the new line.
Solve: ∫[2x/(x4+1)] dx
The minute hand of a watch is 2 cm long. How far does its tip move in 45 minutes? (use π = 3.14)
Find the area of the triangle formed by the points A(2, 3), B(-1, -4), and C(5, -2).
Find the Perpendicular distance between two lines
6x + 8y = 18, 12x + 16y =20
Find the equation of the line passing through the points (1, 2) and (3, 8).
The slope of the equation 24x+8y=56 is