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Question

# A: lf the circles x2+y2=a2, x2+y2−6x−8y+9=0 touch externally then a=1R: 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 AA:S1:x2+y2=a2C1:(0,0)r1=aS2:x2+y2−6x−8y+9=0C2≡(3,4)r2=4S1 and S2 touches externally.r1+r2=C1C2a+4=5A=1 True.R: Is True (concept)Both A & R are True and R is correct explanation of A

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