AP EAMCET · Maths · Application of Derivatives
If \(\theta\) is an angle between the curves \(x^2+4 y=0\) and \(x y=2\), then \(\tan \theta=\)
- A -1
- B \(\frac{1}{3}\)
- C \(\frac{1}{2}\)
- D 3
Answer & Solution
Correct Answer
(D) 3
Step-by-step Solution
Detailed explanation
Point of intersection of the curves \[ \begin{aligned} \Rightarrow \quad x^2+4 y & =0 \text { and } x y=2 \\ \Rightarrow \quad x^2 & =-4 y \text { and } y=\frac{2}{x} \\ \Rightarrow \quad x^2 & =\frac{-8}{x} \\ x^3 & =-8 \Rightarrow x=-2 \end{aligned} \] Slope of first curve at…
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