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Maths-

General

Easy

Question

Circles x2 + y2 = 4 and x2 + y2 – 2x – 4y + 3 = 0

touch each other externally
touch each other internally
intersect each other
do not intersect

The correct answer is: intersect each other

Here C1 (0, 0) and C2 (1, 2)
 C1 C2 = $square root of 1 plus 4 end root$ = $square root of 5$ = 2.23.
Also r1 = 2, r2 = $square root of 1 plus 4 minus 3 end root$ = $square root of 2$ = 1.41
 r1 – r2 < C1C2 < r1 + r2
 circles intersect each other.

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