If the equation 2x2+2hxy+6y2−4x+5y−6=0 represents a pair of straight lines, then the length of intercept on  the x-axis cut by the lines is equal to

The x-coordinates of the points of intersection ofthe pair of lines given by 2x2+2hxy+6y2−4x+5y−6=0 and x-axis are roots of the equation2x2−4x−6=0 or, x2−2x−3=0⇒ (x−3)(x+1)=0⇒x=−1, 3Hence, required length =x1−x2=4,