Home
Class 11
MATHS
Statement 1 : If from any point P(x1, y1...

Statement 1 : If from any point `P(x_1, y_1)` on the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=-1` , tangents are drawn to the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1,` then the corresponding chord of contact lies on an other branch of the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=-1` Statement 2 : From any point outside the hyperbola, two tangents can be drawn to the hyperbola.

Promotional Banner

Similar Questions

Explore conceptually related problems

From any point on the hyperbola x^(2)//a^(2) -y^(2) //b^(2) =1 tangents are drawn to the hyperbola x^(2)//a^(2)-y^(2)//b^(2) =2 .The area cut-off by the chord of contact on the asymptotes is

From any point on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , tangents are drawn to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=2. The area cut-off by the chord of contact on the asymptotes is equal to a/2 (b) a b (c) 2a b (d) 4a b

From any point on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , tangents are drawn to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=2. The area cut-off by the chord of contact on the asymptotes is equal to a/2 (b) a b (c) 2a b (d) 4a b

From any point on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , tangents are drawn to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=2. The area cut-off by the chord of contact on the asymptotes is equal to: (a) a/2 (b) a b (c) 2a b (d) 4a b

From any point on the hyperbola H_(1):(x^2//a^2)-(y^2//b^2)=1 tangents are drawn to the hyperbola H_(2): (x^2//a^2)-(y^2//b^2)=2 .The area cut-off by the chord of contact on the asymp- totes of H_(2) is equal to

Two tangents are drawn to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 such that product of their slope is c^(2) the locus of the point of intersection is