Example 2 (Combination of Straight Line and a Curve)
The straight line y=2k+1 intersects the curve y=x+k2x at two distinct points. Find the range of values of k.


The straight line y=2k+1 intersects the curve y=x+k2x at two distinct points. Find the range of values of k.


Example 3 (Straight Line does not intersect the curve)
Find the range of values of m for which the straight line y=mx+6 does not meet the curve 2x2−xy=3 .

Find the range of values of m for which the straight line y=mx+6 does not meet the curve 2x2−xy=3 .
