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JEE Main 202117 MarchMorning Shift
Exam
JEE Main
Year
2021
Date
17 March
Shift
Morning Shift
Subject
Mathematics
Chapter
Circle

JEE Main 2021 · 17 March · Morning Shift · Mathematics · Circle

Choose the incorrect statement about the two circles whose...

Choose the incorrect statement about the two circles whose equations are given below:

x2+y2−10x−10y+41=0{x}^{2} + {y}^{2} - 10x - 10y + 41 = 0 and x2+y2−16x−10y+80=0{x}^{2} + {y}^{2} - 16x - 10y + 80 = 0

Choose the incorrect statement about the two circles whose equations are given below: x ^ 2 + y ^ 2 - 10x - 10y + 41 =

Options

  1. ADistance between two centres is the average of radii of both the circles.
  2. BBoth circles' centres lie inside region of one another.
  3. CBoth circles pass through the centre of each other.
  4. DCircles have two intersection points.

Correct answer

B. Both circles' centres lie inside region of one another.

Step-by-step solution

r1=3,c1(5,5){r}_{1} = 3, {c}_{1} ( 5, 5 )

r2=3,c2(8,5){r}_{2} = 3, {c}_{2} ( 8, 5 )

C1C2=3,r1=3,r2=3{C}_{1}{C}_{2} = 3, {r}_{1} = 3, {r}_{2} = 3

Choose the incorrect statement about the two circles whose equations are given below: x ^ 2 + y ^ 2 - 10x - 10y + 41 =

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