cmi-entrance 2025 Q12

cmi-entrance · India · mscds Tangents, normals and gradients Geometric properties of tangent lines (intersections, lengths, areas)

12. Let $f ( x ) = \sqrt { x }$. We draw a tangent to the curve $y = f ( x )$ at the point on the curve whose $x$ coordinate is equal to 4 . Where does this tangent intersect the $X$-axis?
(a) $x = 4$
(b) $x = - 2$
(c) $x = - 4$
(d) $x = 2$

12. Let $f ( x ) = \sqrt { x }$. We draw a tangent to the curve $y = f ( x )$ at the point on the curve whose $x$ coordinate is equal to 4 . Where does this tangent intersect the $X$-axis?\\
(a) $x = 4$\\
(b) $x = - 2$\\
(c) $x = - 4$\\
(d) $x = 2$\\

Paper Questions

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