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Let $P(r)=πR_{4}Q r$ be the charge desntiy distribution for a solid sphere of radius R and total charge Q. for a point 'p' inside the sphere at distance \displaystyle{r}_{}

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The function $f(x)=tan_{−1}(sinx+cosx)$is an increasing function in

The alkene that exhibits geometrical isomerism is :

Two aeroplanes I and II bomb a target in succession. The probabilities of I and II scoring a hit correctly are 0.3 and 0.2, respectively. The second plane will bomb only if the first misses the target. The probability that the target is hit by the second plane is

If the straight lines $kx−1 =2y−2 =3z−3 $ and $3x−2 =ky−3 =2z−1 $intersect at a point, then the integer k is equal to

The conjugate of a complex number is $i−11 $. Then the complex number is

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A motor cycle starts from rest and accelerates along a straight path at $2m/s_{2}$. At the starting point of the motor cycle there is a stationary electric sire. How far has the motor cycle gone when the driver hears the frequency of the siren at 94% of its value when the motor cycle was at rest ? (speed of sound $=330ms_{−1}$)