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Question: The number of values of q∈ [0, p] such that l = cos<sup>3</sup>q + sin<sup>3</sup>q and system of eq...

The number of values of q∈ [0, p] such that l = cos3q + sin3q and system of equation 3x – y + 4z = 3, x + 2y – 3z = – 2,

6x + 5y + 5lz = – 3 does not have a unique solution is / are –

A

0

B

Infinite

C

1

D

None of these

Answer

1

Explanation

Solution

D = 314123655λ\left| \begin{matrix} 3 & - 1 & 4 \\ 1 & 2 & - 3 \\ 6 & 5 & 5\lambda \end{matrix} \right| = 7(5l + 5) = 0 Ž l – 1.