Statement 1: The equation x=x^2+x+1 has no solution. Statement 2: The curves y= x and y=x^2+x+1 do not intersect each other when the graph is observed.

JEE Main Mathematics question

Not in JEE Main syllabus

Statement 1: The equation has no solution. Statement 2: The curves and do not intersect each other when the graph is observed.

(A)Statement 1 is True, Statement 2 is True; Statement 2 is a correct explanation for Statement 1Correct
(B)Statement 1 is True, Statement 2 is True; Statement 2 is not a correct explanation for Statement 1
(C)Statement 1 is True, Statement 2 is False
(D)Statement 1 is False, Statement 2 is True

Answer: (A)

Complete the square on the right: . Its minimum is at , where . For large the parabola

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Question ID VK-008061