The distance of the point (1, 0, 2) from the point of intersection of the line 3x−2=4y+1=12z−2and the plane x y + z = 16, is :
In the context of the Hall - Heroult process for the extraction of Al, which of the following statements is false ?
A diode detector is used to detect an amplitude modulated wave of 60% modulation by using a condenser of capacity 250 pico farad in parallel with a load resistance 100 kilo ohm. Find the maximum modulated frequency which could be detected by it.
If the vectors AB=3i^+4k^ and AC=5i^−2j^+4k^are the sides of a triangle ABC, then the length of the median through A is
A train is moving on a straight track with speed 20ms−1. It is blowing its whistle at the frequency of 1000 Hz. The percentage change in the frequency heard by a person standing near the track as the train passes him is (speed of sound =320ms−1) close to :
Two stones are thrown up simultaneously from the edge of the cliff 240 m high with initial speed of 10 m/s and 40 m/s respectively. Which of the following graph best represents the time variation of relative position of the second stone with respect to the first ?
(Assume stones do not rebound after hitting the ground and neglect air resistance, take g=10m/s2)
(The figure are schematic and not drawn to scale)