MHT CET · Maths · Mathematical Reasoning
Negation of the statement \(\forall \mathrm{x} \in \mathrm{R}, \mathrm{x}^2+1=0\) is
- A \(\exists x \in R\) such that \(x^2+1 < 0\)
- B \(\exists x \in R\) such that \(x^2+1 \leq 0\)
- C \(\exists x \in R\) such that \(x^2+1 \neq 0\)
- D \(\exists \mathrm{x} \in \mathrm{R}\) such that \(\mathrm{x}^2+1=0\)
Answer & Solution
Correct Answer
(C) \(\exists x \in R\) such that \(x^2+1 \neq 0\)
Step-by-step Solution
Detailed explanation
Negation of \(\left(\forall x \in R, x^2+1=0\right) \text { is } \exists x \in R \text {, such that } x^2+1 \neq 0 \)
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