(B) Show that there are always a + bl

Prove that the roots of the equation (b-c)x^(2)+2(c-a)x+(a-b)=0 Show that the root are always real

Show that charge always resides on the outer surface of a conductor.

Show that AB+bar(AB) is always 1.

Show that AB+bar(AB) is always 1.

Show that AB+bar(AB) is always 1.

Show that the straight line (a + 2b) x + (a -3b)y + b -a = 0 always passes through a fixed point. Find the co-ordinate of that point.

Let a and b be positive integers. Show that sqrt2 always lies between a/b and (a+2b)/(a +b) .

Study the following bar graph and answer the question that follows. The total sales of books for branches Bl to B5 for the year 2000 is how much more than that of the average sales of books for branches Bl to B5 for the year 2001?

What is total energy in S.H.M. show that it always remains constant.

Show that electric field is always directed perpendicular to an equipotential surface.