120706 The distance between the foci of the conic \(7 x^2\) \(9 y^2=63\) is
#[Qdiff: Hard, QCat: Numerical Based, examname: BCECE-2010], \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\), Comparing Standard equation of ellipse, \(\mathrm{a}^2=12-\mathrm{k} >0 \text { and } \mathrm{b}^2=\mathrm{k}-8>0\), \(\mathrm{k}\lt 12 \quad \mathrm{k} >8\)Hence, a hyperbola, if \(8\lt \mathrm{k}\lt 12\)., 985. Find the equation of chord of \(x^2-y^2=9\) which is bisected at \((5,-3)\).,

120707 The latus rectum of the hyperbola is
\(9 x^2-16 y^2-18 x-32 y-151=0\)

120708 The foci of the hyperbola \(9 x^2-16 y^2=144\) are

120709 The eccentricity of the hyperbola with latus rectum 12 and semiconjugate axis \(2 \sqrt{3}\), is

120710 The hyperbola though foci of ellipse \(\frac{x^2}{25}+\frac{y^2}{16}=1\) and transverse and conjugate axes are coincide with the major and minor axis of the ellipse. If product of eccentricities of ellipse and hyperbola is 1 then equation of hyperbola is

120706 The distance between the foci of the conic \(7 x^2\) \(9 y^2=63\) is
#[Qdiff: Hard, QCat: Numerical Based, examname: BCECE-2010], \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\), Comparing Standard equation of ellipse, \(\mathrm{a}^2=12-\mathrm{k} >0 \text { and } \mathrm{b}^2=\mathrm{k}-8>0\), \(\mathrm{k}\lt 12 \quad \mathrm{k} >8\)Hence, a hyperbola, if \(8\lt \mathrm{k}\lt 12\)., 985. Find the equation of chord of \(x^2-y^2=9\) which is bisected at \((5,-3)\).,

120707 The latus rectum of the hyperbola is
\(9 x^2-16 y^2-18 x-32 y-151=0\)

120708 The foci of the hyperbola \(9 x^2-16 y^2=144\) are

120709 The eccentricity of the hyperbola with latus rectum 12 and semiconjugate axis \(2 \sqrt{3}\), is

120710 The hyperbola though foci of ellipse \(\frac{x^2}{25}+\frac{y^2}{16}=1\) and transverse and conjugate axes are coincide with the major and minor axis of the ellipse. If product of eccentricities of ellipse and hyperbola is 1 then equation of hyperbola is

120706 The distance between the foci of the conic \(7 x^2\) \(9 y^2=63\) is
#[Qdiff: Hard, QCat: Numerical Based, examname: BCECE-2010], \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\), Comparing Standard equation of ellipse, \(\mathrm{a}^2=12-\mathrm{k} >0 \text { and } \mathrm{b}^2=\mathrm{k}-8>0\), \(\mathrm{k}\lt 12 \quad \mathrm{k} >8\)Hence, a hyperbola, if \(8\lt \mathrm{k}\lt 12\)., 985. Find the equation of chord of \(x^2-y^2=9\) which is bisected at \((5,-3)\).,

120707 The latus rectum of the hyperbola is
\(9 x^2-16 y^2-18 x-32 y-151=0\)

120708 The foci of the hyperbola \(9 x^2-16 y^2=144\) are

120709 The eccentricity of the hyperbola with latus rectum 12 and semiconjugate axis \(2 \sqrt{3}\), is

120710 The hyperbola though foci of ellipse \(\frac{x^2}{25}+\frac{y^2}{16}=1\) and transverse and conjugate axes are coincide with the major and minor axis of the ellipse. If product of eccentricities of ellipse and hyperbola is 1 then equation of hyperbola is

120706 The distance between the foci of the conic \(7 x^2\) \(9 y^2=63\) is
#[Qdiff: Hard, QCat: Numerical Based, examname: BCECE-2010], \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\), Comparing Standard equation of ellipse, \(\mathrm{a}^2=12-\mathrm{k} >0 \text { and } \mathrm{b}^2=\mathrm{k}-8>0\), \(\mathrm{k}\lt 12 \quad \mathrm{k} >8\)Hence, a hyperbola, if \(8\lt \mathrm{k}\lt 12\)., 985. Find the equation of chord of \(x^2-y^2=9\) which is bisected at \((5,-3)\).,

120707 The latus rectum of the hyperbola is
\(9 x^2-16 y^2-18 x-32 y-151=0\)

120708 The foci of the hyperbola \(9 x^2-16 y^2=144\) are

120709 The eccentricity of the hyperbola with latus rectum 12 and semiconjugate axis \(2 \sqrt{3}\), is

120710 The hyperbola though foci of ellipse \(\frac{x^2}{25}+\frac{y^2}{16}=1\) and transverse and conjugate axes are coincide with the major and minor axis of the ellipse. If product of eccentricities of ellipse and hyperbola is 1 then equation of hyperbola is

120706 The distance between the foci of the conic \(7 x^2\) \(9 y^2=63\) is
#[Qdiff: Hard, QCat: Numerical Based, examname: BCECE-2010], \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\), Comparing Standard equation of ellipse, \(\mathrm{a}^2=12-\mathrm{k} >0 \text { and } \mathrm{b}^2=\mathrm{k}-8>0\), \(\mathrm{k}\lt 12 \quad \mathrm{k} >8\)Hence, a hyperbola, if \(8\lt \mathrm{k}\lt 12\)., 985. Find the equation of chord of \(x^2-y^2=9\) which is bisected at \((5,-3)\).,

120707 The latus rectum of the hyperbola is
\(9 x^2-16 y^2-18 x-32 y-151=0\)

120708 The foci of the hyperbola \(9 x^2-16 y^2=144\) are

120709 The eccentricity of the hyperbola with latus rectum 12 and semiconjugate axis \(2 \sqrt{3}\), is

120710 The hyperbola though foci of ellipse \(\frac{x^2}{25}+\frac{y^2}{16}=1\) and transverse and conjugate axes are coincide with the major and minor axis of the ellipse. If product of eccentricities of ellipse and hyperbola is 1 then equation of hyperbola is