Question
Two trains, each of length 120 m, are running in
opposite directions at speeds of 54 km/h and 72 km/h. In how many seconds will they completely cross each other?Solution
Convert speeds to m/s: 54 km/h = 54 × (5/18) = 15 m/s 72 km/h = 72 × (5/18) = 20 m/s Relative speed (opposite directions) = 15 + 20 = 35 m/s Total distance to be covered = 120 + 120 = 240 m Time = Distance / Speed = 240 / 35 = 48/7
If x - √3 y = 8 Find the slope in angle?
I. p2 – 5p + 6 = 0                 Â
II. 36q2 = 81
...Find the value of 'a' and 'b' which satisfy the following equations:
9a + 7b = 30
4a - 5b = 62
I. 2p2 + 5p + 2 = 0Â Â Â Â Â Â Â Â II. 2q2 + 11 q + 14 = 0
For given pair of equations, how many solutions are possible?
4x + 6y = 16 and 8x + 12y = 32
For given pair of equations, how many solutions are possible?
3x + 4y = 15 and 6x + 8y = 10
For given pair of equations, how many solutions are possible?
2x + 3y = 10 and 4x + 5y = 18
The ratio of roots of the equation mx2 + nx + n = 0 is α/ β = a/b, then find the value of `sqrt(a/b)+sqrt(b/a)+sqrt(n/m)`
I. p² - 365 = 364
II. q - √ 529 = √ 169
A line passes through the points (2, 3) and (5, −3). Find its equation.
Relevant for Exams:
