List of top Mathematics Questions asked in AMUEEE

The value of $ \lambda $ for which the lines $ \frac{1-x}{3} = \frac{y-2}{2\lambda}=\frac {z-3}{2} = \frac{x-1}{3\lambda} =\frac{y-1}{1} =\frac {6-z}{7} $ are perpendicular to each other is

Let a relation $ R $ in the set $N $ of natural numbers be defined by $(x, y)\Leftrightarrow x^2 - 4xy + 3y^2 = 0\,\forall\,x, y \in\,N.$The relation $ R$ is

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

If g (x) is a polynomial satisfying g (x) g(y) = g(x) + g(y) + g(xy) - 2 for all real x and y and g (2) = 5 then $\underset{\text{x $\rightarrow$ 3}}{{Lt }}$ g(x)is