Show that if a and b are real, the principal value of arg a is 0 or ti according as a is positive or negative and that of bi is `pi/2 or -pi/2` according as b is positive or negative.

Show that if a and b are real, the principal value of arg a is 0 or π according as a is positive or negative and that of bi is pi/2 or -pi/2 according as b is positive or negative.

Show that if a and b are real, the principal value of arg a is 0 or π according as a is positive or negative and that of bi is pi/2 or -pi/2 according as b is positive or negative.

Show that if a and b are real, the principal value of arg a is 0 or pi according as a is positive or negative and that of b is pi/2 or -pi/2 according as b is positive or negative.

"amp"(z)-"amp"(-z)=+-pi according as amp (z) is positive or negative . (z is a complex number . )

Prove that amp(z)-amp(-z)=+-pi ,according as amp(z) is positive or negative.(z is a complex number).

For each positive or negative value of x and y except zero the value of x^2 + y^2 is always positive, Explain.

The function f(x) = sin x-x cos x is: (A).maximum or minimum for all integral multiple of pi (B) maximum if x is an odd positive or even negative integral multiple of pi (C) minimum if x is an even positive or odd negative integral multiple of pi (D) None of these

The function f(x) = sin x-x cos x is: (A).maximum or minimum for all integral multiple of pi (B) maximum if x is an odd positive or even negative integral multiple of pi (C) minimum if x is an even positive or odd negative integral multiple of pi (D) None of these

If a ,b ,c are sides of a scalene triangle, then value of |[a, b, c] ,[b, c, a] ,[c, a, b]| is positive (b) negative non-positive (d) non-negative

If a,b,c are sides of a scalene triangle,then value of |abcbcacab| is (a)positive (b) negative (c)non-positive (d) non-negative