The two circles x^2+y^2= ax and x^2+y^2=c^2 (c0 ) touch each other if:

Question

The two circles x^2+y^2= ax and x^2+y^2=c^2 (c>0 ) touch each other if:

Accepted Answer

Correct answer: B. (b) x^2+y^2= ax … . . (a ) ⇒ centrec_1(- a2 ,0) and radiusr_1= ( a2 ) x^2+y^2=c^2 … … … (b ) ⇒ centre c_2 (0 ,0 ) and radius r_2=c, both touch each other iff (c_1c_2 )=r_1 r_2 ⇒ a^24=( a2 c)^2 ⇒ a^24= a^24 |a |c+c^2 ⇒ |a |=c

$The two circles x^{2} + y^{2} = ax and x^{2} + y^{2} = c^{2} (c > 0) touch each other if:$

Solution

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