Prove that `a!=0,|x+a xxxx+a xxxx+a^2|=0` represents a straight line parallel to the y-axis.

Prove that a!=0,[[x+a,x,xx,x+a,xx,x,x+a^(2)]]=0 represents a straight line parallel to the y-axis.

Draw the graph of the equation represented by a straight line which is parallel to the X-axis and at a distance 3 units below it.

Prove that the equation y^2+2ax+2by+c=0 represent a parabola whose axis is parallel to the axis of x. Find its vertex.

a(x^(2)-y^(2))+xy=0 represents a pair of straight lines for

Consider the following statements : 1. The equation to a straight line parallel to the axis of x is y=d , where d is a constant. 2. The equation to the axis of x is x=0 . Which of the statement (s) given above is/are correct ?

6x^(2)+hxy+12y^(2)=0 represents pair of parallel straight lines, if h is

Prove that the equation y^(2)+2ax+2by+c=0 represents a parabola whose axis is parallel to x-axis. Find its vertex and the equation of the double ordinate through the focus.

Prove that the equation 8x^2+8xy+2y^2+26x+13y+15=0 represents a pair of parallel straight lines . Also find the perpendicular distance between them .

If the equation 2x^(2)+2hxy +6y^(2) - 4x +5y -6 = 0 represents a pair of straight lines, then the length of intercept on the x-axis cut by the lines is equal to