JEE Mains · Maths · STD 11 - 10.2 parabola,ellipse,hyperbola
If the curves, \(\frac{x^{2}}{a}+\frac{y^{2}}{b}=1\) and \(\frac{x^{2}}{c}+\frac{y^{2}}{d}=1\) intersect each other at an angle of \(90^{\circ},\) then which of the following relations is TRUE ?
- A \(a+b=c+d\)
- B \(a-b=c-d\)
- C \(a-c=b+d\)
- D \(a b=\frac{c+d}{a+b}\)
Answer & Solution
Correct Answer
(B) \(a-b=c-d\)
Step-by-step Solution
Detailed explanation
For orthogonal curves \(a-c=b-d\) \(\Rightarrow a-b=c-d\)
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