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Let C : x 2 + y 2 = 4 and C ′ : x 2 + y 2 – 4 λ x + 9 = 0 be two circles. If the set of all values of λ so that the circles C and C ′ intersect at two distinct points, is R – [a, b], then the point (8a + 12, 16b – 20) lies on the curve :

1. 5x 2 – y = –11
2. x 2 + 2y 2 – 5x + 6y =3
3. x 2 – 4y 2 = 7
4. 6x 2 + y 2 = 42

Correct answer: 6x 2 + y 2 = 42

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