$\lim_{x \to 1} \left( \dfrac{\int_{0}^{(x-1)^{2}} t \cos(t^{2}) \, dt}{(x-1)\sin(x-1)} \right)$
Previous 10 Questions — JEE Main 6 September 2020 (Morning)
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Let a , b, c , d and p be any non zero distinct real numbers such that(a2 + b2 + c2)p2 – 2(ab + bc + cd)p + (b2 + c2 + …
Topic: JEE Main 6 September 2020 (Morning)
The region represented by {z = x + iy $ \in $ C : |z| – Re(z) $ \le $ 1} is also given by the inequality :{z = x + iy…
Topic: JEE Main 6 September 2020 (Morning)
The general solution of the differential equation$\sqrt {1 + {x^2} + {y^2} + {x^2}{y^2}} $ + xy${{dy} \over {dx}}$ = 0 …
Topic: JEE Main 6 September 2020 (Morning)
The area (in sq. units) of the region A = {(x, y) : |x| + |y| $ \le $ 1, 2y2 $ \ge $ |x|}
Topic: JEE Main 6 September 2020 (Morning)
Next 10 Questions — JEE Main 6 September 2020 (Morning)
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If I1 = $\int\limits_0^1 {{{\left( {1 - {x^{50}}} \right)}^{100}}} dx$ andI2 = $\int\limits_0^1 {{{\left( {1 - {x^{50}}…
Topic: JEE Main 6 September 2020 (Morning)
The position of a moving car at time t is given by f(t) = at2 + bt + c, t > 0, where a, b and c are realnumbers grea…
Topic: JEE Main 6 September 2020 (Morning)
If $\alpha $ and $\beta $ be two roots of the equation x2 – 64x + 256 = 0. Then the value of${\left( {{{{\alpha ^3}} \…
Topic: JEE Main 6 September 2020 (Morning)
If $\sum\limits_{i = 1}^n {\left( {{x_i} - a} \right)} = n$ and $\sum\limits_{i = 1}^n {{{\left( {{x_i} - a} \right)}^…
Topic: JEE Main 6 September 2020 (Morning)
If {p} denotes the fractional part of the number p, then $\left\{ {{{{3^{200}}} \over 8}} \right\}$, is equal to :
Topic: JEE Main 6 September 2020 (Morning)
If f(x + y) = f(x)f(y) and $\sum\limits_{x = 1}^\infty {f\left( x \right)} = 2$ , x, y $ \in $ N, where N is the set …
Topic: JEE Main 6 September 2020 (Morning)
Out of 11 consecutive natural numbers if three numbers are selected at random (without repetition), then the probabilit…
Topic: JEE Main 6 September 2020 (Morning)
A ray of light coming from the point (2, $2\sqrt 3 $) is incident at an angle 30o on the line x = 1 at thepoint A. The …
Topic: JEE Main 6 September 2020 (Morning)
The values of $\lambda$ and $\mu$ for which the system of linear equations
\[
\begin{aligned}
x + y + z &= 2,\\
x + 2y …
Topic: JEE Main 6 September 2020 (Morning)
Let m and M be respectively the minimum and maximum values of
\[
\left|
\begin{array}{ccc}
\cos^{2}x & 1+\sin^{2}x …
Topic: JEE Main 6 September 2020 (Morning)
