1.

Two highways are perpendicular to each other imagine them to be along the x-axis and the y-axis, respectively. At the instant `t = 0`, a police car P is at a distance `d = 400 m` from the intersection and moving at speed of `8 km//h` towards it at a speed of `60 km//h` along they y-axis. The minimum distance between the cars isA. `300 m`B. `240 m`C. `180 m`D. `120 m`

Answer» Correct Answer - B
If s be their separation at time t then,
`s^(2) = (0.4-80t)^(2) + (0.6-60t)^(2)`
where t is in hour, s in km. Minimise s using calculus.


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