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JEE Main 201911 JanuaryMorning Shift
Exam
JEE Main
Year
2019
Date
11 January
Shift
Morning Shift
Subject
Mathematics
Chapter
Circle

JEE Main 2019 · 11 January · Morning Shift · Mathematics · Circle

Two circles with equal radii are intersecting at the points (0,1)...

Two circles with equal radii are intersecting at the points (0,1) and (0,-1) . The tangent at the point (0,1) to one of the circles passes through the centre of the other circle. Then the distance between the centres of these circles is:Two circles with equal radii are intersecting at the points (0,1) and (0,-1) . The tangent at the point (0,1) to one of

Options

  1. A1
  2. B2
  3. C222 \sqrt{2}
  4. D2\sqrt{2}

Correct answer

B. 2

Step-by-step solution

∵\because Two circles of equal radii intersect each other orthogonally. Then RR is mid point of PQP Q. Two circles with equal radii are intersecting at the points (0,1) and (0,-1) . The tangent at the point (0,1) to one of
and PR=O1R=O2RP R=O_{1} R=O_{2} R PR=12(0−0)2+(1+1)2=1P R=\frac{1}{2} \sqrt{(0-0)^{2}+(1+1)^{2}}=1 ∴\therefore Distance between centres =1+1=2=1+1=2.
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