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 sIope of the line, then the curve is:

Consider a curve ax^(2)+2hxy+by^(2)=1 and a point P not on the curve.A line drawn from the point P intersect the curve at points Q and R. If he product PQ.PR is (A) a pair of straight line (B) a circle (A) a parabola (D) an ellipse or hyperbola

Find the point of intersection of the tangent lines to the curve y=2x^(2) at the points (1, 2) and (-1, 2) .

Consider a curve |z-1| =2 and a point z_(1) =3-i ,then the length of tangent made from the point z_(1) to the curve is

The equation of the normal to the curve y=e^(-2|x|) at the point where the curve cuts the line x = 1//2 is

The equation of the normal to the curve y= e^(-2|x|) at the point where the curve cuts the line x=-(1)/(2), is

A line is drawn from A(-2,0) to intersect the curve y^(2)=4x in P and Q in the first quadrant such that (1)/(AP)+(1)/(AQ)<(1)/(4), then slope of the line always be:

If the point P on the curve 4x^2+5y^2-20=0 is farthest from the point Q(0,-4) than Find PQ^2 .