$\displaystyle \lim_{x\to1^-}\frac{\sqrt{x}-\sqrt{2\sin^{-1}x}}{\sqrt{1-x}}$ is equal to:
Previous 10 Questions — JEE Main 2019 (12 January Evening Shift)
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There are $m$ men and two women participating in a chess tournament. Each participant plays two games with every other …
Topic: JEE Main 2019 (12 January Evening Shift)
If a curve passes through the point $(1, -2)$ and has slope of the tangent at any point $(x, y)$ on it as $\dfrac{x^2 -…
Topic: JEE Main 2019 (12 January Evening Shift)
$.$ In a game, a man wins Rs. $100$ if he gets $5$ or $6$ on a throw of a fair die and loses Rs. $50$ for getting any o…
Topic: JEE Main 2019 (12 January Evening Shift)
The integral $\int\limits_1^e {\left\{ {{{\left( {{x \over e}} \right)}^{2x}} - {{\left( {{e \over x}} \right)}^x}} \ri…
Topic: JEE Main 2019 (12 January Evening Shift)
Next 10 Questions — JEE Main 2019 (12 January Evening Shift)
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If a circle of radius $R$ passes through the origin $O$ and intersects the coordinate axes at $A$ and $B$, then the loc…
Topic: JEE Main 2019 (12 January Evening Shift)
If nC4, nC5 and nC6 are in A.P., then n can be :
Topic: JEE Main 2019 (12 January Evening Shift)
The total number of irrational terms in the binomial expansion of $(7^{1/5}-3^{1/10})^{60}$ is:
Topic: JEE Main 2019 (12 January Evening Shift)
The number of integral values of $m$ for which the quadratic expression $(1+2m)x^2-2(1+3m)x+4(1+m)$, $x\in\mathbb{R}$, …
Topic: JEE Main 2019 (12 January Evening Shift)
The set of all values of $\lambda$ for which the system of linear equations$x-2y-2z=\lambda x$$x+2y+z=\lambda y$$-x-y=\…
Topic: JEE Main 2019 (12 January Evening Shift)
The mean and the variance of five observations are $4$ and $5.20$, respectively. If three of the observations are $3, 4…
Topic: JEE Main 2019 (12 January Evening Shift)
If a straight line passing through the point $P(-3,4)$ is such that its intercepted portion between the coordinate axes…
Topic: JEE Main 2019 (12 January Evening Shift)
Let $f$ be a differentiable function such that $f(1)=2$ and $f'(x)=f(x)$ for all $x\in\mathbb{R}$. If $h(x)=f(f(x))$, t…
Topic: JEE Main 2019 (12 January Evening Shift)
Let $z_1$ and $z_2$ be two complex numbers satisfying $|z_1|=9$ and $|z_2-3-4i|=4$. Then the minimum value of $|z_1-z_2…
Topic: JEE Main 2019 (12 January Evening Shift)
In a class of $60$ students, $40$ opted for NCC, $30$ opted for NSS and $20$ opted for both NCC and NSS. If one of thes…
Topic: JEE Main 2019 (12 January Evening Shift)
