Tag: hyperbola
Questions Related to hyperbola
Consider
the set of hyperbola $xy = {\text{ }}K,{\text{ K}} \in {\text{R,}}$ let ${e _1}$ be eccentricity
when $K = \sqrt {2017} $ and ${e _2}$ be the
eccentricity when $K = \sqrt {2018} $ , then ${e _1} = {e _2}$ is equal to
The exhaustive interval of $\lambda$ for which the equation $\dfrac{x^2}{(\lambda^2-2\lambda-3)}+\dfrac{y^2}{\lambda^2+2\lambda-8}=1$ represents a hyperbola is
Length of the latus rectum of the hyperbola $xy=c^{2}$, is
If area of quadrilateral formed by tangents drawn at ends of latus rectum of hyperbola $\dfrac { { x }^{ 2 } }{ { a }^{ 2 } } -\dfrac { { y }^{ 2 } }{ { b }^{ 2 } } =1$ is equal to square of distance between centre and one focus of hyperbola,then ${ e }^{ 3 }$ is (e is eccentricity of hyperbola)
Eccentricity of a hyperbola is always less than 1.
Which of the following equations does not represent a hyperbola?
Equation of the latus rectum of the hyperbola $(10x - 5)^{2} + (10y - 2)^{2} = 9(3x + 4y - 7)^{2}$ is
The equation $\frac{x^2}{1-k}-\frac{y^2}{1+k}=1$, $k<1$ represents
The equation $\displaystyle\frac{x^2}{10-\lambda}+\frac{y^2}{6-\lambda}=1$ represents
The point to which the axes are to be translated to eliminate $x$ and $y$ terms in the equation $3x^{2}-4xy-2y^{2}-3x-2y-1=0$ is