Home
Class 11
MATHS
Consider a curve ax^2+2hxy+by^2=1 and a ...

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 (C) a parabola (D) an ellipse or hyperbola

Promotional Banner

Similar Questions

Explore conceptually related problems

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:

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

A variable straight line is drawn from a fixed point O meeting a fixed circle in P and a point Q is taken on this line such that OP. OQ is constant, then locus of Q is : (A) a straight line (B) a circle (C) a parabola (D) none of these

A tangent to the parabolax^2 =4ay meets the hyperbola xy = c^2 in two points P and Q. Then the midpoint of PQ lies on (A) a parabola (C) a hyperbola (B) an ellipse (D) a circle

The curve described parametrically by x=t^(2)+t+1, and y=t^(2)-t+1 represents.a pair of straight lines (b) an ellipse a parabola (d) a hyperbola

The curve represented by the equation sqrt(px)+sqrt(qy)=1 where p,q in R,p,q>0 is a circle (b) a parabola an ellipse (d) a hyperbola

If any tangent to the parabola x^(2)=4y intersects the hyperbola xy=2 at two points P and Q , then the mid point of the line segment PQ lies on a parabola with axs along

Tangents to a circle at points P and Q on the circle intersect at a point R. If PQ= 6 and PR= 5 then the radius of the circle is

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: