Mathematics - Circle Question with Solution | TestHub

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

MathematicsMediumsingle choice

The annular sector in the first quadrant between circles of radii 2,4 and above $y = x$ is shaded. If $(a, 3)$ lies in it, find the interval of $a$ .

Answer:

Solution:

The outer circle gives $a^{2} + 9 < 16$ , the first quadrant gives $a > 0$ , and $y > x$ gives $a < 3$ . Thus $0 < a < 7$ .

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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