find the number of elements in A ∩ B ∩ C .

Mathematics - Circle Question with Solution | TestHub

MathematicsCirclePosition of a point w.r.t a circle, Parametric equation of a circleMedium2 minQB

MathematicsMediumsingle choice

Passage / Comprehension

Given $A = {(x, y) : y \geq 1}, B = {(x, y) : (x - 2)^{2} + y^{2} = 9}$ , and $C = {(x, y) : x + y = 2}$ ,

find the number of elements in $A \cap B \cap C$ .

Answer:

Solution:

The line meets the circle at two points, but only one satisfies $y \geq 1$ .

Stream:JEESubject:MathematicsTopic:CircleSubtopic:Position of a point w.r.t a circle, Parametric equation of a circle

⏱ 2mℹ️ Source: QB

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