TS EAMCET · Maths · Circle
The combined equation of the direct common tangents of the circles \(x^2+y^2+2 x=0\) and \(x^2+y^2-2 y-3=0\) is
- A \(x y+x+2 y+2=0\)
- B \(x^2-x y-2 y^2+3 x-6 y=0\)
- C \(2 x^2+5 x y+2 y^2+13 x+14 y+20=0\)
- D \(2 x^2-9 x y+9 y^2+3 x-6 y+1=0\)
Answer & Solution
Correct Answer
(A) \(x y+x+2 y+2=0\)
Step-by-step Solution
Detailed explanation
For the circle \[ \begin{aligned} & x^2+y^2+2 x=0 \\ & \text { centre }=(-1,0) \\ & \text { Radius }=1 \end{aligned} \] For the circle \[ \begin{aligned} & x^2+y^2-2 y-3=0 \\ & \text { centre }=(0,1) \\ & \text { Radius }=2 \end{aligned} \]…
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