Straight Line Question 211
Question: If the slope of one of the lines represented by $ ax^{2}+2hxy+by^{2}=0 $ is the square of the other, Then $ \frac{a+b}{h}+\frac{8h^{2}}{ab}= $
Options:
A) 4
B) 6
C) 8
D) None of these
Correct Answer: B $ \therefore {{(m+m^{2})}^{3}}={{( -\frac{2h^{2}}{b} )}^{2}} $ $ \therefore m^{3}+m^{6}+3mm^{2}(m+m^{2})=-\frac{8h^{3}}{b^{3}} $ $ \therefore \frac{a}{b^{2}}(a+b)+\frac{8h^{3}}{b^{3}}=\frac{6ah}{b^{2}}\therefore \frac{a+b}{h}+\frac{8h^{2}}{ab}=6 $ These are the set of parallel lines and the distance between parallel lines are equal.
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Answer:
Solution:
BETA
