If m is a variable, the locus of the point of intersection of the lines x 3 - y 2 = m and x 3 + y 2 = 1 m is a/an :

Step-by-step solution

The required locus is obtained by eliminating the variable m from the given equations of the lines, then we have x 3 - y 2 x 3 + y 2 = m 1 m ⇒ x 2 9 - y 2 4 = 1 This is clearly a hyperbola.