AP EAMCET · Maths · Ellipse
For the ellipse \(\frac{x^2}{18}+\frac{y^2}{32}=1\), if a tangent with slope \(\frac{-4}{3}\) intersects the major and minor axes at \(P\) and \(Q\) respectively. Find \(P\) and \(Q\).
- A \(P(0,8), Q(6,0)\)
- B \(P(0,6), Q(8,0)\)
- C \(P(3 \sqrt{2}, 0), Q(0,4 \sqrt{2})\)
- D \(P(0,3 \sqrt{2}), Q(4 \sqrt{2}, 0)\)
Answer & Solution
Correct Answer
(A) \(P(0,8), Q(6,0)\)
Step-by-step Solution
Detailed explanation
Equation of tangent to the ellipse \(\frac{x^2}{18}+\frac{y^2}{32}=1\) having slope \(-\frac{4}{3}\) is…
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