COMEDK · Maths · 12. Circle
If a circle with the point \((-1,1)\) as its center touches the straight line \(x+2 y+9=0\), then the coordinates of the points of contact is
- A \((-3,3)\)
- B \((-3,-3)\)
- C \((0,0)\)
- D \(\left(\frac{7}{3},-\frac{17}{3}\right)\)
Answer & Solution
Correct Answer
(B) \((-3,-3)\)
Step-by-step Solution
Detailed explanation
The normal to the tangent will pass through the centre. Also, the intersection of the normal and tangent will give the point of contact. Hence, cosider the equation of tangent \[ y=-\frac{n}{2}-45 \] Here, \(\quad m=\frac{-1}{2}\) Therefore, slope of the normal is 2 . Since,…
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