If x=4λ1+λ2 and y=2−2λ21+λ2, where λ is a real parameter such – InterviewSolution

1.	If x=4λ1+λ2 and y=2−2λ21+λ2, where λ is a real parameter such that x2−xy+y2 lies in the interval [a,b], then the minimum value of p for which 3cosϕ=p2−(a+b)p+19 holds true is .
Answer» If $x = \frac{4 λ}{1 + λ^{2}}$ and $y = \frac{2 - 2 λ^{2}}{1 + λ^{2}}$ , where $λ$ is a real parameter such that $x^{2} - x y + y^{2}$ lies in the interval $[a, b]$ , then the minimum value of $p$ for which $3 cos ϕ = p^{2} - (a + b) p + 19$ holds true is .

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