If $\alpha $ and $\beta $ are the roots of the equation x2 + px + 2 = 0 and ${1 \over \alpha }$ and ${1 \over \beta }$ are the roots ofthe equation 2x2 + 2qx + 1 = 0, then $\left( {\alpha - {1 \over \alpha }} \right)\left( {\beta - {1 \over \beta }} \right)\left( {\alpha + {1 \over \beta }} \right)\left( {\beta + {1 \over \alpha }} \right)$ is equal to :
Previous 10 Questions — JEE Main 3 September 2020 (Morning)
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The solution curve of the differential equation, (1 + e-x)(1 + y2)${{dy} \over {dx}}$ = y2, which passes throughthe poi…
Topic: JEE Main 3 September 2020 (Morning)
Let [t] denote the greatest integer$ \le $ t. If for some $\lambda $ $ \in $ R - {1, 0}, $\mathop {\lim }\limits_{x \to…
Topic: JEE Main 3 September 2020 (Morning)
2$\pi $ - $\left( {{{\sin }^{ - 1}}{4 \over 5} + {{\sin }^{ - 1}}{5 \over {13}} + {{\sin }^{ - 1}}{{16} \over {65}}} \r…
Topic: JEE Main 3 September 2020 (Morning)
For the frequency distribution :Variate (x) : x1 x2 x3 ....  …
Topic: JEE Main 3 September 2020 (Morning)
Next 10 Questions — JEE Main 3 September 2020 (Morning)
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If the number of integral terms in the expansion of (31/2 + 51/8)n is exactly 33, then the least valueof n is
Topic: JEE Main 3 September 2020 (Morning)
If $\Delta $ = $\left| {\matrix{ {x - 2} & {2x - 3} & {3x - 4} \cr {2x - 3} & {3x - 4} & {4x - 5}…
Topic: JEE Main 3 September 2020 (Morning)
The value of (2.1P0 – 3.2P1 + 4.3P2 .... up to 51th term)+ (1! – 2! + 3! – ..... up to 51th term)is equal to :
Topic: JEE Main 3 September 2020 (Morning)
The function, f(x) = (3x – 7)x2/3, x $ \in $ R, isincreasing for all x lying in
Topic: JEE Main 3 September 2020 (Morning)
If $y^{2} + \log_{e}(\cos^{2}x) = y,\; x \in \left(-\tfrac{\pi}{2}, \tfrac{\pi}{2}\right),$ then :
Topic: JEE Main 3 September 2020 (Morning)
$\int\limits_{ - \pi }^\pi {\left| {\pi - \left| x \right|} \right|dx} $ is equal to :
Topic: JEE Main 3 September 2020 (Morning)
Consider the two sets :A = {m $ \in $ R : both the roots of x2 – (m + 1)x + m + 4 = 0 are real} and B = [–3, 5).Which o…
Topic: JEE Main 3 September 2020 (Morning)
Let $P$ be a point on the parabola, $y^{2} = 12x$ and $N$ be the foot of the perpendicular drawn from $P$ on the axis o…
Topic: JEE Main 3 September 2020 (Morning)
The area (in sq. units) of the region{ (x, y) : 0 $ \le $ y $ \le $ x2 + 1, 0 $ \le $ y $ \le $ x + 1, ${1 \over 2}$ $ …
Topic: JEE Main 3 September 2020 (Morning)
A hyperbola having the transverse axis of length $\sqrt 2 $ has the same foci as that of the ellipse 3x2 + 4y2 = 12, th…
Topic: JEE Main 3 September 2020 (Morning)
