Let `C` be a curve which is the locus of the point of intersection of lines `x=2+m` and `m y=4-mdot` A circle `s-=(x-2)^2+(y+1)^2=25` intersects the curve `C` at four points: `P ,Q ,R ,a n dS` . If `O` is center of the curve `C ,` then `O P^2+O P^2+O R^2+O S^2` is

Let C be a curve which is the locus of the point of intersection of lines x=2+m and my=4-m* A circle s-=(x-2)^(2)+(y+1)^(2)=25 intersects the curve C at four points: P,Q,R, and S. If O is center of the curve C, then OP^(2)+OP^(2)+OR^(2)+OS^(2) is

The equation of a circle C_1 is x^2+y^2= 4 . The locus of the intersection of orthogonal tangents to the circle is the curve C_2 and the locus of the intersection of perpendicular tangents to the curve C_2 is the curve C_3 , Then

The equation of a circle C_1 is x^2+y^2= 4 . The locus of the intersection of orthogonal tangents to the circle is the curve C_2 and the locus of the intersection of perpendicular tangents to the curve C_2 is the curve C_3 , Then

The equation of a circle C_1 is x^2+y^2= 4 . The locus of the intersection of orthogonal tangents to the circle is the curve C_2 and the locus of the intersection of perpendicular tangents to the curve C_2 is the curve C_3 , Then

The equation of a circle C_(1) is x^(2)+y^(2)=4 The locus of the intersection of orthogonal tangents to the circle is the curve C_(2) and the locus of the intersection of perpendicular tangents to the curve C_(2) is the curve C_(3), Then

Let O be the origin and A be a point on the curve y^(2)=4x then locus of the midpoint of OA is

The equation of a circle is x^(2)+y^(2)+14x-4y+28=0. The locus of the point of intersection of orthoonal tangents to C_(1) is the curve C_(2) and the locus of the point of intersection of perpendicular tangents to C_(2) is the curve C_(3) then the statement(s) which hold good?

The angle of intersection of the curves x y=a^2 and x^2-y^2=2a^2 is zero 0o (b) 45o (c) 90o (d) 30o

The angle of intersection of the curves x y=a^2 and x^2-y^2=2a^2 is (a) 0^o (b) 45^o (c) 90^o (d) 30^o

Consider the curve C_(1):x^(2)-y^(2)=1 and C_(2):y^(2)=4x then The point of intersection of directrix of the curve C_(2) with C_(1)