GATE Civil Engineering
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The tangent to the curve represented by $y=x \text{ ln }x$ is required to have $45^{\circ}$ inclination with the $x$-axis. The coordinates of the tangent point would be

  1. $(1,0)$
  2. $(0, 1)$
  3. $(1,1)$
  4. $(\sqrt{2}, (\sqrt{2})$
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