Question

The length of the transverse axis of a hyperbola is 7 and it passes through the point (5, -2). The equation of the hyperbola is

• A.
• B.
• C.
• D. None of these

Answer 1

The correct option is C

Trick: 2a=7 or a=$\frac{7}{2}$
Also (5, -2) satisfies it, so $\frac{4}{49}$(25)-{51\over 196}(4)=1\)
and $a^2=\frac{49}{4}\Rightarrow a=\frac{7}{2}$.