AP EAMCET · Maths · Ellipse
The values that \(m\) can take, so that the straight line \(y=4 x+m\) touches the curve \(x^2+4 y^2=4\) is
- A \(\pm \sqrt{45}\)
- B \(\pm \sqrt{60}\)
- C \(\pm \sqrt{65}\)
- D \(\pm \sqrt{72}\)
Answer & Solution
Correct Answer
(C) \(\pm \sqrt{65}\)
Step-by-step Solution
Detailed explanation
As the straight line, \(y=m x+4\) touches the circle \(x^2+4 y^2=4\) Put \(y=4 x+m\) in \(x^3+4 y^2=4\), we get…
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