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$sp_{3}d_{2}$ hybridization is not displayed by :

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The distance of the point (1, 0, 2) from the point of intersection of the line $3x−2 =4y+1 =12z−2 $and the plane x y + z = 16, is :

If the lines $1x−2 =1y−3 =−kx−4 $ and $kx−1 =2y−4 =1x−5 $are coplanar, then k can have

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

The area of the region described by $A={(x,y):x_{2}+y_{2}≤1$and $y_{2}≤1−x}$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 $g=10m/s_{2}$) (The figure are schematic and not drawn to scale)