The locus of point of intersection of the lines `y+mx=sqrt(a^2m^2+b^2)` and `my-x=sqrt(a^2+b^2m^2)` is

The locus of point of intersection of the lines y+mx=sqrt(a^(2)m^(2)+b^(2)) and my-x=sqrt(a^(2)+b^(2)m^(2)) is

The locus of point of intersection of the lines y+mx=sqrt(4+m^(2)) and my-x=sqrt(1+4m^(2)) is x^(2)+y^(2)=k then "k" is

Locus of points of intersection of lines x=at^(2),y=2at

The locus of the point of intersection of the lines, sqrt(2)x-y+4sqrt(2)k=0" and "sqrt(2)kx+ky-4sqrt(2)=0 (k is any non-zero real parameter), is:

Locus of the point of intersection of the lines mx sqrt(3) + my - 4sqrt(3) = 0 and xsqrt(3) - y - 4 msqrt(3) = 0 , where m is parameter , is

If m is a variable,then prove that the locus of the point of intersection of the lines (x)/(3)-(y)/(2)=m and (x)/(3)+(y)/(2)=(1)/(m) is a hyperbola.

The angle between the lines joining the origin to the points of intersection of the line sqrt3x+y=2 and the curve y^(2)-x^(2)=4 is

The locus of the point of intersection of tangents of (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 at two points whose eccentric angles differ by (pi)/(2) is an ellipse whose semi-axes are: (A) sqrt(2)a,sqrt(2)b(B)(a)/(sqrt(2)),(b)/(sqrt(2))(C)(a)/(2),(b)/(2)(D)2a,2b

The locus of a point that is equidistant from the lines x+y - 2sqrt2 = 0 and x + y - sqrt2 = 0 is (a) x+y-5sqrt2=0 (b) x+y-3sqrt2=0 (c) 2x+2y-3 sqrt2=0 (d) 2x+2y-5sqrt5=0