'Himgiri' developed by hybridization and selection for disease resistance against rust pathogens is a variety of

$A$ straight wire carrying current $i$ is turned into a circular loop. If the magnitude of the magnetic moment associated with it in $M.K.S.$ units is $M$,the length of the wire will be

Heat required to melt $1\, g$ of ice is $80\, cal$. $A$ man melts $60\, g$ of ice by chewing in one minute. His power is ........ $W$.

There are $n$ distinct points on the circumference of a circle. The number of pentagons that can be formed with these points as vertices is equal to the number of possible triangles. Then the value of $n$ is

The area (in sq unit) of the region bounded by the curves $2x = y^2 - 1$ and $x = 0$ is

The condition that $f(x)=a x^3+b x^2+c x+d$ has no extreme value,is