Home
Class 11
MATHS
If a pair of variable straight lines x^2...

If a pair of variable straight lines `x^2 + 4y^2+alpha xy =0` (where `alpha` is a real parameter) cut the ellipse `x^2+4y^2= 4` at two points A and B, then the locus of the point of intersection of tangents at A and B is

Promotional Banner

Similar Questions

Explore conceptually related problems

A variable parabola y^(2) = 4ax, a (where a ne -(1)/(4)) being the parameter, meets the curve y^(2) +x - 2 = 0 at two points. The locus of the point of intersecion of tangents at these points is

If the tangents to the parabola y^2=4a x intersect the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 at Aa n dB , then find the locus of the point of intersection of the tangents at Aa n dBdot

Two variable chords A Ba n dB C of a circle x^2+y^2=r^2 are such that A B=B C=r . Find the locus of the point of intersection of tangents at Aa n dCdot

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

Find the locus of the point of intersection of the perpendicular tangents of the curve y^2+4y-6x-2=0 .

The slope of the line joining A and B where A is (-1,2) and B is the point of intersection of the lines 2x+3y=5 and 3x+4y=7 is:

Tangents are drawn to the circle x^2+y^2=9 at the points where it is met by the circle x^2+y^2+3x+4y+2=0 . Fin the point of intersection of these tangents.

The point of intersection of the curves y^(2) = 4x and the line y = x is

Two lines are drawn at right angles, one being a tangent to y^2=4a x and the other x^2=4b ydot Then find the locus of their point of intersection.

Show that the line x-y + 4 =0 is a tangents to the ellipse x^(2) + 3y^(2) =12 . Also find the coordinates of the points of contact.