Home
Class 12
MATHS
From a point P(1,2) , two tangents are d...

From a point `P(1,2)` , two tangents are drawn to a hyperbola `H` in which one tangent is drawn to each arm of the hyperbola. If the equations of the asymptotes of hyperbola `H` are `sqrt(3)x-y+5=0` and `sqrt(3)x+y-1=0` , then the eccentricity of `H` is 2 (b) `2/(sqrt(3))` (c) `sqrt(2)` (d) `sqrt(3)`

Promotional Banner

Similar Questions

Explore conceptually related problems

From a point P(1,2) , two tangents are drawn to a hyperbola H in which one tangent is drawn to each arm of the hyperbola. If the equations of the asymptotes of hyperbola H are sqrt(3)x-y+5=0 and sqrt(3)x+y-1=0 , then the eccentricity of H is (a)2 (b) 2/(sqrt(3)) (c) sqrt(2) (d) sqrt(3)

The eccentricity of the hyperbola (sqrt(2006))/(4) (x^(2) - y^(2))= 1 is

The eccentricity of the hyperbola (sqrt(1999))/(3)(x^(2)-y^(2))=1 , is

Find the equations of tangents drawn to the hyperbola 2x^(2)-3y^(2)=6 through (-2,1)

The area (in square units ) of the equilateral triangle formed by the tangent at (sqrt(3), 0) to the hyperbola x^(2)-3y^(2)=3 with the pair of a asymptotes of the hyperbola is

If the latus rectum of an hyperbola be 8 and eccentricity be (3)/( sqrt5) the the equation of the hyperbola is

Find the equations of the tangents to the hyperbola x^(2)-9y^(2)=9 that are drawn from from (3,2) .

From a point P, tangents are drawn to the hyperbola 2xy = a^(2) . If the chord of contact of these tangents touches the rectangular hyperbola x^(2) - y^(2) = a^(2) , prove that the locus of P is the conjugate hyperbola of the second hyperbola.

Tangents are drawn to the hyperbola 4x^(2)-y^(2)=36 at the points P and Q . If these tangents intersect at the point T(0,3) and the area (in sq units) of Delta TPQ is a sqrt(5) then a=