Let C_1 and C_2 be two circles of radius r_1 and r_2 units respectively touching both the axes. If the two circles are orthogonal, then…

Question

Let C_1 and C_2 be two circles of radius r_1 and r_2 units respectively touching both the axes. If the two circles are orthogonal, then r_1/r_2+r_2/r_1 is equal to

MARKS Content Team · Accepted Answer

Correct answer: (D) 4. Let the equation of the circle be x-r^2+y-r^2=r^2 and x^2+y^2-2rx-2ry+r^2=0 If they are orthogonal 2-r_1-r_2+2-r_1-r_2=r12+r22 ⇒r12-4r_1r_2+r22=0 ⇒r_1/r_2+r_2/r_1=2-√3+2+√3=4

Let $C_{1}$ and $C_{2}$ be two circles of radius $r_{1}$ and $r_{2}$ units respectively touching both the axes. If the two circles are orthogonal, then $\frac{r_{1}}{r_{2}} + \frac{r_{2}}{r_{1}}$ is equal to

Solution

More Circle Questions

Let C1 and C2 be two circles of radius r1 and r2 units respectively touching both the axes. If the two circles are orthogonal, then r1r2+r2r1 is equal to

Solution

More Circle Questions

Let $C_{1}$ and $C_{2}$ be two circles of radius $r_{1}$ and $r_{2}$ units respectively touching both the axes. If the two circles are orthogonal, then $\frac{r_{1}}{r_{2}} + \frac{r_{2}}{r_{1}}$ is equal to