Questions tagged 'Hyperbola'

• A point on the curve $\frac{{{x}^{2}}}{{{A}^{2}}}-\frac{{{y}^{2}}}{{{B}^{2}}}=1$ is
  Category: conic-section | Tags: Hyperbola
• If the eccentricities of the hyperbolas $\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1$ and $\frac{{{y}^{2}}}{{{b}^{2}}}-\frac{{{x}^{2}}}{{{a}^{2}}}=1$ be $e$ and ${{e}_{1}}$, then $\frac{1}{{{e}^{2}}}+\frac{1}{e_{1}^{2}}=$
  Category: conic-section | Tags: Hyperbola
• If P is a point on the hyperbola $16{{x}^{2}}-9{{y}^{2}}=144$ whose foci are ${{S}_{1}}$ and ${{S}_{2}}$, then $P{{S}_{1}}\tilde{\ }P{{S}_{2}}=$
  Category: conic-section | Tags: Hyperbola
• If the latus rectum of an hyperbola be 8 and eccentricity be $3/\sqrt{5}$, then the equation of the hyperbola is
  Category: conic-section | Tags: Hyperbola
• The eccentricity of a hyperbola passing through the points (3, 0), $(3\sqrt{2},\ 2)$ will be
  Category: conic-section | Tags: Hyperbola
• The one which does not represent a hyperbola is
  Category: conic-section | Tags: Hyperbola
• The equation of the hyperbola whose conjugate axis is 5 and the distance between the foci is 13, is
  Category: conic-section | Tags: Hyperbola
• The length of the transverse axis of a hyperbola is 7 and it passes through the point (5, –2). The equation of the hyperbola is
  Category: conic-section | Tags: Hyperbola
• If (4, 0) and (–4, 0) be the vertices and (6, 0) and (–6, 0) be the foci of a hyperbola, then its eccentricity is
  Category: conic-section | Tags: Hyperbola
• The eccentricity of the hyperbola ${{x}^{2}}-{{y}^{2}}=25$ is
  Category: conic-section | Tags: Hyperbola

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