List of top Mathematics Questions on sections of a cone asked in KEAM

The distance between the foci of the ellipse \(\frac{(x + 2)^{2{9} + \frac{(y - 1)^{2}}{4} = 1\) is}

The axis of the parabola \(x^{2} + 6x + 4y + 5 = 0\) is

The eccentricity of the hyperbola \( \frac{(2x-6)^2}{2} - \frac{(4y+7)^2}{16} = 1 \) is

The length of major axis and minor axis of an ellipse are, respectively, \( m \) and \( n \). If \( m^2 - n^2 = 45 \) and the eccentricity of the ellipse is \( \frac{\sqrt{5}}{3} \), then the length of the major axis is

The vertex of the parabola \( 4y = x^2 - 6x + 17 \) is

The focus of the parabola \( x^2 - 4x + 8y + 4 = 0 \) is