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

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 tangents to the curve y=(x-2)^(2)-1 at its points of intersection with the line x-y=3, intersect at the point:

If the curve x^2 + 2y^2 = 2 intersects the line x + y = 1 at two points P and Q, then the angle subtended by the line segment PQ at the origin 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

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)

Consider a curve ax^(2)+2hxy+by^(2)-1=0 and a point P not on the curve.A line is drawn from the point P intersects the curve at the point Q and R.If the product PQ.PR is independent of the s[ope of the line,then the curve is:

P and Q are the points of intersection of the curves y^(2)=4x and x^(2)+y^(2)=12 . If Delta represents the area of the triangle OPQ, O being the origin, then Delta is equal to (sqrt(2)=1.41) .