MHT CET · Maths · Ellipse
The tangent to the ellipse \(9 x^2+16 y^2=288\) making equal intercepts on the co-ordinate axes intersects the X -axis and the Y -axis in the points \(A\) and \(B\) respectively. Then \(A(\triangle O A B)=\) (where O is origin)
- A \(\frac{25}{2}\) sq. units
- B 25 sq. units
- C \(\frac{25 \sqrt{5}}{2}\) sq. units
- D \(25 \sqrt{5}\) sq. units
Answer & Solution
Correct Answer
(B) 25 sq. units
Step-by-step Solution
Detailed explanation
Equation of ellipse: \( \frac{x^2}{32} + \frac{y^2}{18} = 1 \). For equal intercepts, slope \(m = -1\).
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