For the three concentric circles shown below, the length of the radius of circle B is twice the leng

Potherat8mi

Potherat8mi

Answered question

2022-03-03

For the three concentric circles shown below, the length of the radius of circle B is twice the length of the radius of circle A. The length of the radius of circle C is three times the length of the radius of circle A. Which of the concentric circles is a locus of points equidistant from the other two circles?
a) Circle A
b) Circle B
d) Circle C

Answer & Explanation

legertopdxa

legertopdxa

Beginner2022-03-04Added 8 answers

Step 1
Suppose x be the length of the radius of circle A, y be the radius of the circle B and Z be the length of the radius of the circle C
Since, the length of the radius of the circle B is the twice the length of the radius of the circle A
So,
y=2x
Step 2
Since, the length of the radius of the circle C is the three time of the length of the radius of the circle A
Then,
z=3x
So, the distance of the circle A from the circle B at x unit and also the distance of the circle C from the circle B at x unit
This concludes that, circle B is the locus of the points equidistant from the other two circles.
So option (b) is correct

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