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Circle · 2023 · Shift 2

2 Mathematics questions from this JEE Advanced paper

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JEE Advanced
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2023 · Shift 2
Mathematics
Circle

Circle · 2023 · Shift 2

2 Mathematics questions from this JEE Advanced paper

Q28.Let $A_{1}, A_{2}, A_{3}, \dots, A_{8}$ be the vertices of a regular octagon that lie on a circle of radius 2 . Let $P$ be a point on the circle and let $P A_{i}$ denote the distance between the points $P$ and $A_{i}$ for $i = 1, 2, \dots, 8$ . If $P$ …
Mathematics · Circle · Numerical
Q30.Let $C_{1}$ be the circle of radius 1 with center at the origin. Let $C_{2}$ be the circle of radius $r$ with center at the point $A = (4, 1)$ , where $1 < r < 3$ . Two distinct common tangents $P Q$ and $S T$ of $C_{1}$ and $C_{2}$ are drawn. The…
Mathematics · Circle · Numerical