MHT CET2019Morning ShiftMathematicsQuadratic EquationActual

If A = x ∈ R x 2 + 5 x + 6 = 0 then n A =

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Correct answer

A. 0

Step-by-step solution

We have, A = x ∈ R x 2 + 5 x + 6 = 0 Now, x 2 + 5 x + 6 = 0 … i ⇒ x 2 + 3 x + 2 x + 6 = 0 ⇒ x x + 3 + 2 x + 3 = 0 ⇒ x + 2 x + 3 = 0 ⇒ x = - 2 x = - 3 ⇒ x ≠ 2 o r x ≠ 3 Here, no value of x satisfy the Eq. (i). ∴ n A = 0

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