A) - 6
B) - 2
C) - 4
D) 4
Correct Answer: B
Solution :
Comparing the given equation with the standard equation, we get \[a=4\] and\[b=-7\]. Let \[{{m}_{1}}\] and \[{{m}_{2}}\] are the slopes of given lines. Therefore sum of the slopes \[({{m}_{1}}+{{m}_{2}})=-\frac{2h}{b}=\frac{2h}{7}\] and product of the slopes\[({{m}_{1}}{{m}_{2}})=\frac{a}{b}=\frac{4}{-7}\]. \[\because {{m}_{1}}+{{m}_{2}}={{m}_{1}}{{m}_{2}}\], therefore \[\frac{2h}{7}=\frac{4}{-7}\] or\[h=-2\].
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