E(K) =K where K is a constant .TRUE or FALSE

The probability distribution P(x) of a random variable X is given by p(X=x)={(K,when x=0),(2K,when x=1),(3K, when x=2),(0,elsewhere):} ,where K is a constant. The value of K is

A particle of mass m is rotated in a circular path of radius r under the influence of a force F=-k/(r^2) , where k is a constant. Find the total energy of the particle.

Show that the angular momentum of a particle under the action of the force vec(F) = k vec(r ) is conserved , where K is a constant quantity.

A particle of mass m is rotated in a circular path of radius r under the influence of a force F = - k/r^2 .. where k is a constant. Find the total energy of the particle.

The sum of the perimeter of a circle and square is k, where k is some constant. Prove that the sum of their areas is least when the side of square is double the radius of the circle.

The sum of the perimeter of a circle and square is k, where k is some constant. Prove that the sum of their areas is least when the side of square is double the radius of the circle.

Electric current C, measured by a galvanometer, is given by the equation C=k tan theta , where k is constant. Then the percentage error in the current corresponding to an error 0.7 percent in the measurement of theta when theta=45^(@) is -

From the definition of definite integral as the limit of a sum, evaluate: int_(a)^(b)kdx , where k is a constant

The differential equation whose solution is (y - b)^(2) = 4 k (x - a) (where b,a,k are constants ) is of