Tangent & Normal – JEE Main Previous Year Question with Solutions

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Q. The equation of the tangent to the curve $y=x+\frac{4}{x^{2}},$ that is parallel to the x-axis, is :- (1) y = 0                (2) y = 1                 (3) y = 2                    (4) y = 3 [AIEEE-2010]

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Sol. (4)

Q. The intercepts on x-axis made by tangents to the curve, $\mathrm{y}=\int_{0}^{\mathrm{x}}|\mathrm{t}| \mathrm{dt}, \mathrm{x} \in \mathrm{R}$ which are parallel to the line y = 2x, are equal to $(1) \pm 1$ $(2) \pm 2$ (3) $\pm 3$ (4) $\pm 4$ [JEE-MAIN 2013]

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Sol. (1)

Q. The normal to the curve, $x^{2}+2 x y-3 y^{2}=0,$ at $(1,1):$ (1)meets the curve again in the third quadrant (2) meets the curve again in the fourth quadrant (3) does not meet the curve again (4) meets the curve again in the second quadrant [JEE-MAIN 2015]

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Sol. (2)

Q. Consider $f(x)=\tan ^{-1}(\sqrt{\frac{1+\sin x}{1-\sin x}}), x \in\left(0, \frac{\pi}{2}\right) .$ A normal to $y=f(x)$ at $x=\frac{\pi}{6}$ also passes through the point : ( 1)$\left(\frac{\pi}{4}, 0\right)$b (2) (0, 0) (3) $\left(0, \frac{2 \pi}{3}\right)$ (4) $\left(\frac{\pi}{6}, 0\right)$ [JEE-MAIN 2016]

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Sol. (3)

Q. If the curves $\mathrm{y}^{2}=6 \mathrm{x}, 9 \mathrm{x}^{2}+\mathrm{by}^{2}=16$ intersect each other at right angles, then the value of $\mathrm{b}$ is : (1) $\frac{7}{2}$             (2) 4              (3) $\frac{9}{2}$                 (4) 6 [JEE-MAIN 2016]

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Sol. (3)

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Comments
  • December 1, 2020 at 5:19 pm

    Op questions

    0
  • October 29, 2020 at 10:19 pm

    nice

    0
  • October 20, 2020 at 5:05 pm

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    0
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    0
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  • September 4, 2020 at 3:55 pm

    2 nd last question

    0
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    • December 1, 2020 at 5:20 pm

      Op questions

      1
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    0
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    0
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      0
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