__Example 3__Find the range of values of m for which the straight line $y=mx+6$ does not meet the curve $2{x}^{2}-xy=3$ .

*Nature of the Roots (Combination of Straight Line and the Curve)*

Onlinetuition.com SPM Additional Mathematics

Find the range of values of m for which the straight line $y=mx+6$ does not meet the curve $2{x}^{2}-xy=3$ .