Q49Multiple choice
51 4 196 4 2 51 2 (C) x − y =1 (D) none of these 49 196 x2 y 2 Solution (C) is the correct choice. Let − = 1 represent the hyperbola. Then a 2 b2 according to the given condition, the length of transverse axis, i.e., 2a = 7 ⇒ a = . Also, the point (5, –2) lies on the hyperbola, so, we have 4 4 (25) – 2 = 1 which gives 49 b b2 = . Hence, the equation of the hyperbola is 4 2 51 2 x − y =1 49 196 State whether the statements in Examples 17 and 18 are correct or not. Justify.