Show that for all values of `lambda `, the lines joining the origin to the points common to `x^2+2hxy-y^2+gx+fy=0 ` and `fx -gy= lambda` are at right angles .

The lines joining the origin to the point of intersection of x^2+y^2+2gx+c=0 and x^2+y^2+2fy-c=0 are at right angles if

The lines joining the origin to the points of intersection of 2x^2 + 3xy -4x +1 = 0 and 3x + y=.1 given by

If the lines joining the origin to the intersection of the line y=nx+2 and the curve x^2+y^2=1 are at right angles, then the value of n^2 is

The equation of the line joining the origin to the point of intersection of the lines 2x^2+xy-y^2+5x-y+2=0 is

Find the equations of the straight lines joining the origin to the points of intersection of x^2+y^2-4x-2y=4 and x^2+y^2-2x-4y=4 .

The lines x+(k-1)y+1=0 and 2x+k^2y-1=0 are at right angles if

The lines joining the origin to the points of intersection of the line 3x-2y -1 and the curve 3x^2 + 5xy -3y^2+2x +3y= 0 , are

The pair of lines joining origin to the points of intersection of, the two curves ax^2+2hxy + by^2+2gx = 0 and a^'x^2 +2h^'xy + b^'y^2 + 2g^'x = 0 will be at right angles, if

The lines joining the origin to the point of intersection of 3x^(2)+mxy-4x+1=0 and 2x+y-1=0 are at right angles. Then which of the following is not a possible value of m?

The lines joining the origin to the point of intersection of 3x^2+m x y-4x+1=0 and 2x+y-1=0 are at right angles. Then which of the following is a possible value of m ? -4 (b) 4 (c) 7 (d) 3