JEE Mains · Maths · STD 11 - 10.1 circle and system of circle
A circle passes through \((-2, 4)\) and touches the \(y-\) axis at \((0, 2).\) Which one of the following equations can represent a diameter of this circle ?
- A \(2x- 3y+ 10 = 0\)
- B \(3x+4y- 3 = 0\)
- C \(4x+5y- 6 = 0\)
- D \(5x+ 2y+4 =0\)
Answer & Solution
Correct Answer
(A) \(2x- 3y+ 10 = 0\)
Step-by-step Solution
Detailed explanation
Here \(C=\) center of the circle mid-point of chord \(AB\), \(D=(-1,3)\) slope of \(AB = \frac{{4 - 2}}{{ - 2 - 0}} = - 1\) \(\because \) \(EF \bot AB\) \(\because \) Slope \(EF=1\) equation of \(EF\), \(y-3=1(x+1)\) \( \Rightarrow y = x + 4\).....\((i)\) Equation of \(BG\)…
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