If Z [i] is the ring of Gaussian integers, the quotient Z [i]/(3-i) is isomorphic to

The image of the point (1, 3, 4) in the plane 2x-y+z+3=0 is

The distance between the parallel planes represented by the equation x² + 4y² + 4z² + 4xy + 8yz + 4zx -9x-18y-18z+18=0 is

Let A and B be two sets containing 2 and 4 elements respectively. Then the number of subsets of A × B having 3 or more elements is equal to:

If f(x+2y,x-2y) = xy, then f(x,y) is equal to :

If g(x) = x²-6x+ 38, and (gof) (x) = 4x² - 10x + 5, then f(4) is equal to :

Consider the statement: P(n) = n^2 - n +41 is prime. Then which one of the following is TRUE ?

Above question

IF (Ζ-α)/(Z+α) is a purely imaginary number with α∈ R and | z | = 4, then the value of α is:

If a, b, c, d are positive real numbers such that a+b+c+d=2, then M = (a + b) (c + d) satisfies:

The harmonic mean of two numbers is 4, their arithmetic mean A and geometric mean G satisfy the relation 2A + G2 = 27, then the numbers are :

Let cos θ = x + P/X where x is a real number for all real values of θ, then :

If the straight line, 2x-3y + 17 = 0 is perpendicular to the line passing through the point (7, 17) and (15, a), then a is equal to:

The two circles x² + y² = ax and x²+ y² = c², (c>0) touch each other if :

A tangent is drawn to the parabola y^2 = 6x which is perpendicular to the line 2x + y =1.Which of the following points does not lie on it?

The equation of a common tangent to the parabolas y = x² and y = -(x-2)² is: