WBJEE · Maths · Circle
A circle passing through (0,0),(2,6) (6,2) cut the \(x\) -axis at the point \(P \neq(0,0)\) Then, the lenght of \(O P,\) where \(O\) is the origin, is
- A \(\frac{5}{2}\)
- B \(\frac{5}{\sqrt{2}}\)
- C 5
- D 10
Answer & Solution
Correct Answer
(C) 5
Step-by-step Solution
Detailed explanation
Let the equation of circle is \[ x^{2}+y^{2}+2 g x+2 f y+c=0 \] When, circle (i) passes through the onigin Then, \(\quad c=0\) When, circle (i) passes through the point (2,6). Then \(4+36+4 g+12 f+0=0\) \(\Rightarrow \quad 4 g+12 f+40=0\) \(\Rightarrow g+3 f=-10\) When, circle…
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