TS EAMCET · Maths · Circle
Two chords of the circle \(x^2+y^2-2 g x-2 h y+g^2+h^2-c^2=0\) are passing through the point \((g, h+c)\) and the line \(y=x\) bisects these two chords. Then
- A \(4 g^2-4 h^2-8 g h+4 h c-4 g c-c^2=0\)
- B \(4 g^2+4 h^2-8 g h+4 h c-4 g c-c^2 < 0\)
- C \(4 g^2+4 h^2+8 g h+4 h c+4 g c+c^2=0\)
- D \(4 g^2+4 h^2-8 g h+4 h c-4 g c-c^2>0\)
Answer & Solution
Correct Answer
(B) \(4 g^2+4 h^2-8 g h+4 h c-4 g c-c^2 < 0\)
Step-by-step Solution
Detailed explanation
Equation of given circle is \(x^2+y^2-2 g x-2 h y+g^2+h^2-c^2=0\) Let a point on the line \(y=x, P\left(x_1, x_1\right)\) which bisects the chords, so equation of chord is \(T=S_1\)…
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