Statement 1 :The circles x2+y2+2px+r=0 and x2+y2+2qy+r=0 touch if p21+q21=e1˙ Statement 2 : Two centers C1andC2 and radii r1andr2, respectively, touch each other if ∣r1±r2∣=c1c2˙

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Statement 1 :The circles {x}^{{2}}+{y}^{{2}}+{2}{p}{x}+{r}={0}

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Statement 1 :The circles $x^{2} + y^{2} + 2 p x + r = 0$ and $x^{2} + y^{2} + 2 q y + r = 0$ touch if $\frac{1}{p ^{2}} + \frac{1}{q ^{2}} = \frac{1}{e} ˙$ Statement 2 : Two centers $C_{1} a n d C_{2}$ and radii $r_{1} a n d r_{2},$ respectively, touch each other if $∣ r_{1} \pm r_{2} ∣ = c_{1} c_{2} ˙$

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Statement 1 :The circles

x^{2} + y^{2} + 2 p x + r = 0

and

x^{2} + y^{2} + 2 q y + r = 0

touch if

\frac{1}{p ^{2}} + \frac{1}{q ^{2}} = \frac{1}{e} ˙

Statement 2 : Two centers

C_{1} a n d C_{2}

and radii

r_{1} a n d r_{2},

respectively, touch each other if

∣ r_{1} \pm r_{2} ∣ = c_{1} c_{2} ˙

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Question Text	Statement 1 :The circles $x^{2} + y^{2} + 2 p x + r = 0$ and $x^{2} + y^{2} + 2 q y + r = 0$ touch if $\frac{1}{p ^{2}} + \frac{1}{q ^{2}} = \frac{1}{e} ˙$ Statement 2 : Two centers $C_{1} a n d C_{2}$ and radii $r_{1} a n d r_{2},$ respectively, touch each other if $∣ r_{1} \pm r_{2} ∣ = c_{1} c_{2} ˙$
Answer Type	Video solution: 1
Upvotes	150