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Question

A: lf the circles x2+y2=a2, x2+y26x8y+9=0 touch externally then a=1
R: Two circles with centres C1,C2 and radii r1, r2 respectively touch externally iff C1C2=r1+r2

A
Both A and R are true and R is the correct explanation of A
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B
Both A and R are true but R is not the correct explanation of A
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C
A is true but R is false
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D
A is false but R is true
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Solution

The correct option is A Both A and R are true and R is the correct explanation of A
A:S1:x2+y2=a2
C1:(0,0)r1=a
S2:x2+y26x8y+9=0
C2(3,4)r2=4
S1 and S2 touches externally.
r1+r2=C1C2
a+4=5
A=1 True.
R: Is True (concept)
Both A & R are True and R is correct explanation of A

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