A) 2
B) 4
C) 6
D) None of these
Correct Answer: A
Solution :
Let the equation of hyperbola is \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\] But it passes through (3, 2) Þ \[\frac{9}{{{a}^{2}}}-\frac{4}{{{b}^{2}}}=1\] ..... (i) Also its passes through (?17, 12) Þ \[\frac{{{(-17)}^{2}}}{{{a}^{2}}}-\frac{{{(12)}^{2}}}{{{b}^{2}}}=1\] ..... (ii) Solving these, we get \[a=1\]and \[b=\sqrt{2}\] Hence length of transverse axis\[=2a=2\].
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