A cat is situated at a point `A(0,3,4)` and rat is situated at point `B(5,0,-8)`. The car is free to move but the rat is always at rest. Find the minimum distance travelled by cat to catch the rat.

Find the distance between the points (4,0) and (-5,0)

Find the distance between points: (0, -3) and (0, -8)

Find the distance between points: (-4, 0) and (-8, 0).

A car moves at a speed of 57 (3)/(4) km/hr. The car travels for 3 hours 20 minutes. Find the distance covered by the car.

A point moves so that its distance from the point (-2, 3) is always three times its distance from the point (0, 3) . Find the equation to its locus.

A point moves so that its distance from the point (-2, 3) is always three times its distance from the point (0, 3) . Find the equation to its locus.

A train approaches a tunnel AB. Inside the tunnel is a cat located at a point that is 3/8 of the distance AB measured from the entrance A. When the train whistles, that cat runs. If the cat moves to the entrance A of the tunnel, the train catches the cat exactly at the entrance. If the cat moves to the exit B, the train catches the cat at exactly the exit. The ratio of the speed of the train to that of the cat is of the order 3:1 b. 4:1 c. 5:1 d. none of these

Check how the points A,B and C are situated where A(4,0),B(-1,-1),C(3,5) .