120806 If a hyperbola passes through the point \(\mathbf{P}(\sqrt{2}, \sqrt{3})\) and has foci at \(( \pm 2,0)\), then the tangent to this hyperbola at \(P\) also passes through the point

120807 The equation of a tangent to the hyperbola \(4 x^2\) \(-5 y^2=20\) parallel to the line \(x-y=2\) is

120808 If the line \(y=m x+7 \sqrt{3}\) is normal to the hyperbo (a) \(\frac{3}{\sqrt{5}}\)
\(n\) a value of \(m\) is

120809 Let \(P\) be the point of intersection of the common tangents to the parabola \(y^2=12 x\) and the hyperbola \(8 x^2-y^2=8\). If \(S\) and \(S^{\prime}\) denotes the foci of the hyperbola where \(S\) lies on the positive \(\mathrm{X}\)-axis then \(\mathrm{P}\) divides \(\mathrm{SS}^{\prime}\) in a ratio
#[Qdiff: Hard, QCat: Numerical Based, examname: JEE Main 08.04.2019,Shift-II], 1101. If the eccentricity of the standard hyperbola passing through the point \((4,6)\) is 2 , then the equation of the tangent to the hyperbola at (4, 6) is,

120806 If a hyperbola passes through the point \(\mathbf{P}(\sqrt{2}, \sqrt{3})\) and has foci at \(( \pm 2,0)\), then the tangent to this hyperbola at \(P\) also passes through the point

120807 The equation of a tangent to the hyperbola \(4 x^2\) \(-5 y^2=20\) parallel to the line \(x-y=2\) is

120808 If the line \(y=m x+7 \sqrt{3}\) is normal to the hyperbo (a) \(\frac{3}{\sqrt{5}}\)
\(n\) a value of \(m\) is

120809 Let \(P\) be the point of intersection of the common tangents to the parabola \(y^2=12 x\) and the hyperbola \(8 x^2-y^2=8\). If \(S\) and \(S^{\prime}\) denotes the foci of the hyperbola where \(S\) lies on the positive \(\mathrm{X}\)-axis then \(\mathrm{P}\) divides \(\mathrm{SS}^{\prime}\) in a ratio
#[Qdiff: Hard, QCat: Numerical Based, examname: JEE Main 08.04.2019,Shift-II], 1101. If the eccentricity of the standard hyperbola passing through the point \((4,6)\) is 2 , then the equation of the tangent to the hyperbola at (4, 6) is,

120806 If a hyperbola passes through the point \(\mathbf{P}(\sqrt{2}, \sqrt{3})\) and has foci at \(( \pm 2,0)\), then the tangent to this hyperbola at \(P\) also passes through the point

120807 The equation of a tangent to the hyperbola \(4 x^2\) \(-5 y^2=20\) parallel to the line \(x-y=2\) is

120808 If the line \(y=m x+7 \sqrt{3}\) is normal to the hyperbo (a) \(\frac{3}{\sqrt{5}}\)
\(n\) a value of \(m\) is

120809 Let \(P\) be the point of intersection of the common tangents to the parabola \(y^2=12 x\) and the hyperbola \(8 x^2-y^2=8\). If \(S\) and \(S^{\prime}\) denotes the foci of the hyperbola where \(S\) lies on the positive \(\mathrm{X}\)-axis then \(\mathrm{P}\) divides \(\mathrm{SS}^{\prime}\) in a ratio
#[Qdiff: Hard, QCat: Numerical Based, examname: JEE Main 08.04.2019,Shift-II], 1101. If the eccentricity of the standard hyperbola passing through the point \((4,6)\) is 2 , then the equation of the tangent to the hyperbola at (4, 6) is,

120806 If a hyperbola passes through the point \(\mathbf{P}(\sqrt{2}, \sqrt{3})\) and has foci at \(( \pm 2,0)\), then the tangent to this hyperbola at \(P\) also passes through the point

120807 The equation of a tangent to the hyperbola \(4 x^2\) \(-5 y^2=20\) parallel to the line \(x-y=2\) is

120808 If the line \(y=m x+7 \sqrt{3}\) is normal to the hyperbo (a) \(\frac{3}{\sqrt{5}}\)
\(n\) a value of \(m\) is

120809 Let \(P\) be the point of intersection of the common tangents to the parabola \(y^2=12 x\) and the hyperbola \(8 x^2-y^2=8\). If \(S\) and \(S^{\prime}\) denotes the foci of the hyperbola where \(S\) lies on the positive \(\mathrm{X}\)-axis then \(\mathrm{P}\) divides \(\mathrm{SS}^{\prime}\) in a ratio
#[Qdiff: Hard, QCat: Numerical Based, examname: JEE Main 08.04.2019,Shift-II], 1101. If the eccentricity of the standard hyperbola passing through the point \((4,6)\) is 2 , then the equation of the tangent to the hyperbola at (4, 6) is,