List of top Computer Science Questions on Geometry asked in CUET (PG)

If the foci of a hyperbola coincide with the foci of the ellipse \(\frac{x^2}{25} + \frac{y^2}{9} = 1\), then the equation of the hyperbola having its eccentricity 2 is:

Let the equation of the pair of lines \(px - y = 0\) and \(qx - y = 0\) be written as \((y - px)(y - qx) = 0\). Then, the equation of the pair of angle bisectors of the lines \(x^2 - 4y^2 - 5xy = 0\) is:

If the foci of a hyperbola coincide with the foci of the ellipse \(\frac{x^2}{25} + \frac{y^2}{9} = 1\), then the equation of the hyperbola having its eccentricity 2 is:

Let the equation of the pair of lines \(px - y = 0\) and \(qx - y = 0\) be written as \((y - px)(y - qx) = 0\). Then, the equation of the pair of angle bisectors of the lines \(x^2 - 4y^2 - 5xy = 0\) is: