If the lines represented by the equation $$2 x^2-p x y+2 y^2=0$$ are real, then the value of $$p$$ lies in the interval

When the axes are rotated through an angle 45$$^\circ$$, the new coordinates of a point P are (1, $$-$$1). The coordinates of P in the original system are

Find the equation of a straight line passing through $$(-5,6)$$ and cutting off equal intercepts on the coordinate axes.

Line has slope $$m$$ and $$y$$-intercept 4 . The distance between the origin and the line is equal to