Let C: x^2+y^2=4 and C^{'}: x^2+y^2-4 \lambda x+9=0 be two circles. If the set of all values of \lambda so that the circles {\C} and {\C}^{'} intersect at two distinct points, is {R}-[a, b], then the point (8 a+12,16 b-20) lies on the curve : [1-Feb-2024 Shift 1]

JEE Main 1-Feb-2024 Shift 1 Solved Paper

Section: Mathematics

Question : 18 of 90

Marks: +1, -0

Let C:x2+y2=4 and C′:x2+y2−4λx+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-Feb-2024 Shift 1]

x2+2y2−5x+6y=3
5x2−y=−11
x2−4y2=7
6x2+y2=42

Validate

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