First slide
Pair of straight lines
Question

If the equation ax2+2hxy+by2+2gx+2fy+c=0represents a pair of parallel lines ba=

Easy
Solution

The condition that the equation ax2+2hxy+by2+2gx+2fy+c=0 represents pair of parallel lines is h2=ab,  and af2=bg2
Rewrite the second condition as f2g2=ba
Therefore ba=f2g2
 

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