COMEDK · Maths · 27. Application of Derivatives
The curve \(x^{2}-x y+y^{2}=27\) has tangents parallel to \(X\)-axis at
- A \((-3,-6)\) and \((3,-6)\)
- B \((3,6)\) and \((-3,-6)\)
- C \((-3,6)\) and \((-3,-6)\)
- D \((3,-6)\) and \((-3,6)\)
Answer & Solution
Correct Answer
(B) \((3,6)\) and \((-3,-6)\)
Step-by-step Solution
Detailed explanation
Given, equation of curve is \[ x^{2}-x y+y^{2}=27 \quad \text{...(i)} \] Taking derivative w.r.t. \(x\) on both sides…
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