`x^2-x y+y^2-4x-4y+16=0` represents a. a point b. a circle c. a pair of straight line d. none of these

The equation x^2y^2-9y^2-6x^2y+54 y=0 represents (a) a pair of straight lines and a circle (b) a pair of straight lines and a parabola (c) a set of four straight lines forming a square (d) none of these

In a three-dimensional x y z space , the equation x^2-5x+6=0 represents a. Points b. planes c. curves d. pair of straight lines

In a three-dimensional x y z space , the equation x^2-5x+6=0 represents a. Points b. planes c. curves d. pair of straight lines

The equation 3x^2+4y^2-18x+16 y+43=k (a)represents an empty set, if k 0 (c)represents a point, if k=0 (d)cannot represent a real pair of straight lines for any value of k

If lambdax^(2)-10xy+12y^(2)+5x-16y-3=0 , represents a pair of straight lines, then the value of lambda is

Show that 4x^(2)+4xy+y^(2)-6x-3y-4=0 represents a pair of parallel lines.

The equation a^2x^2+2h(a+b)x y+b^2y^2=0 and a x^2+2h x y+b y^2=0 represent (a)two pairs of perpendicular straight lines (b)two pairs of parallel straight lines (c)two pairs of straight lines which are equally inclined to each other (d)none of these

x+2y+4=0,3x=-4y-16

The locus of the point from which the lengths of the tangents to the circles x^2+y^2=4 and 2(x^2+y^2)-10 x+3y-2=0 are equal is (a)a straight line inclined at pi/4 with the line joining the centers of the circles (b)a circle (c) an ellipse (d)a straight line perpendicular to the line joining the centers of the circles.

Two circle x^2+y^2=6 and x^2+y^2-6x+8=0 are given. Then the equation of the circle through their points of intersection and the point (1, 1) is (a) x^2+y^2-6x+4=0 (b) x^2+y^2-3x+1=0 (c) x^2+y^2-4y+2=0 (d)none of these