120742 If one of the roots of the equation \(x^2-5 x-14=\) 0 is the length of the semi conjugate axis of the hyperbola \(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\) and the square of the other root is the semi-transverse axis then the focus of the hyperbola that lies on the positive \(\mathbf{x}\)-axis is

120743 The eccentricity of the hyperbola whose length of the latusrectum is equal to 8 and the length of its conjugate axis is equal to half of the distance between its foci, is

120744 The equation of the hyperbola whose foci are \((-2,0)\) and \((2,0)\) and eccentricity is 2 , is given by

120745 If a hyperbola has length of its conjugate axis equal to 5 and the distance between its foci is 13 , then the eccentricity of the hyperbola is

120742 If one of the roots of the equation \(x^2-5 x-14=\) 0 is the length of the semi conjugate axis of the hyperbola \(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\) and the square of the other root is the semi-transverse axis then the focus of the hyperbola that lies on the positive \(\mathbf{x}\)-axis is

120743 The eccentricity of the hyperbola whose length of the latusrectum is equal to 8 and the length of its conjugate axis is equal to half of the distance between its foci, is

120744 The equation of the hyperbola whose foci are \((-2,0)\) and \((2,0)\) and eccentricity is 2 , is given by

120745 If a hyperbola has length of its conjugate axis equal to 5 and the distance between its foci is 13 , then the eccentricity of the hyperbola is

120742 If one of the roots of the equation \(x^2-5 x-14=\) 0 is the length of the semi conjugate axis of the hyperbola \(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\) and the square of the other root is the semi-transverse axis then the focus of the hyperbola that lies on the positive \(\mathbf{x}\)-axis is

120743 The eccentricity of the hyperbola whose length of the latusrectum is equal to 8 and the length of its conjugate axis is equal to half of the distance between its foci, is

120744 The equation of the hyperbola whose foci are \((-2,0)\) and \((2,0)\) and eccentricity is 2 , is given by

120745 If a hyperbola has length of its conjugate axis equal to 5 and the distance between its foci is 13 , then the eccentricity of the hyperbola is

120742 If one of the roots of the equation \(x^2-5 x-14=\) 0 is the length of the semi conjugate axis of the hyperbola \(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\) and the square of the other root is the semi-transverse axis then the focus of the hyperbola that lies on the positive \(\mathbf{x}\)-axis is

120743 The eccentricity of the hyperbola whose length of the latusrectum is equal to 8 and the length of its conjugate axis is equal to half of the distance between its foci, is

120744 The equation of the hyperbola whose foci are \((-2,0)\) and \((2,0)\) and eccentricity is 2 , is given by

120745 If a hyperbola has length of its conjugate axis equal to 5 and the distance between its foci is 13 , then the eccentricity of the hyperbola is