Home
Class 11
MATHS
If alpha-beta= constant, then the locus ...

If `alpha-beta=` constant, then the locus of the point of intersection of tangents at `P(acosalpha,bsinalpha)` and `Q(acosbeta,bsinbeta)` to the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` is: (a) a circle (b) a straight line (c) an ellipse (d) a parabola

Promotional Banner

Similar Questions

Explore conceptually related problems

The locus of the point of intersection of perependicular tangent of the parabola y^(2) =4ax is

The locus of the point of intersection of the tangent at the endpoints of the focal chord of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 ( b < a) (a) is a an circle (b) ellipse (c) hyperbola (d) pair of straight lines

The locus of the point which is such that the chord of contact of tangents drawn from it to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 forms a triangle of constant area with the coordinate axes is a straight line (b) a hyperbola an ellipse (d) a circle

Find the locus of the point of intersection of tangents to the ellipse if the difference of the eccentric angle of the points is (2pi)/3dot

The point of intersection of the tangents at the point P on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and its corresponding point Q on the auxiliary circle meet on the line (a) x=a/e (b) x=0 (c) y=0 (d) none of these

Find the locus of the foot of the perpendicular drawn from the center upon any tangent to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1.

P and Q are two points on the ellipse (x^(2))/(a^(2)) +(y^(2))/(b^(2)) =1 whose eccentric angles are differ by 90^(@) , then

If line x-2y-1=0 intersects parabola y^(2)=4x at P and Q, then find the point of intersection of normals at P and Q.

Find the locus of point P such that the tangents drawn from it to the given ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 meet the coordinate axes at concyclic points.

The locus a point P(alpha,beta) moving under the condition that the line y=alphax+beta is a tangent to the hyperbola x^2/a^2-y^2/b^2=1 is (A) a parabola (B) an ellipse (C) a hyperbola (D) a circle