MathematicsMedium127×since 2002Q3034Let C:x2+y2=4C: x^2+y^2=4C:x2+y2=4 and C′:x2+y2−4λx+9=0C^{\prime}: x^2+y^2-4 \lambda x+9=0C′:x2+y2−4λx+9=0 be two circles. If the set of all values of λ\lambdaλ so that the circles C\mathrm{C}C and C\mathrm{C}C intersect at two distinct points, is R−[a,b]\mathrm{R}-[\mathrm{a}, \mathrm{b}]R−[a,b], then the point (8a+12,16 b−20)(8 \mathrm{a}+12,16 \mathrm{~b}-20)(8a+12,16 b−20) lies on the curve :Ax2+2y2−5x+6y=3x^2+2 y^2-5 x+6 y=3x2+2y2−5x+6y=3B5x2−y=−115 x^2-y=-115x2−y=−11Cx2−4y2=7x^2-4 y^2=7x2−4y2=7D6x2+y2=426 x^2+y^2=426x2+y2=42Check answerSkip