$x = \sum\limits_{n = 0}^\infty {{a^n},y = \sum\limits_{n = 0}^\infty {{b^n},z = \sum\limits_{n = 0}^\infty {{c^n}} } } $, where a, b, c are in A.P. and |a| < 1, |b| < 1, |c| < 1, abc $\ne$ 0, then :
Previous 10 Questions — JEE Main 2022 (26 June Evening Shift)
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Let the system of linear equations $x + 2y + z = 2$, $\alpha x + 3y - z = \alpha $, $ - \alpha x + y + 2z = - \alpha $…
Topic: JEE Main 2022 (26 June Evening Shift)
The area of the polygon, whose vertices are the non-real roots of the equation $\overline z = i{z^2}$ is :
Topic: JEE Main 2022 (26 June Evening Shift)
If the inverse trigonometric functions take principal values then ${\cos ^{ - 1}}\left( {{3 \over {10}}\cos \left( {{{\…
Topic: JEE Main 2022 (26 June Evening Shift)
$16\sin (20^\circ )\sin (40^\circ )\sin (80^\circ )$ is equal to :
Topic: JEE Main 2022 (26 June Evening Shift)
The mean and standard deviation of 50 observations are 15 and 2 respectively. It was found that one incorrect observati…
Topic: JEE Main 2022 (26 June Evening Shift)
Let $\overrightarrow a = \widehat i + \widehat j + 2\widehat k$, $\overrightarrow b = 2\widehat i - 3\widehat j + \wi…
Topic: JEE Main 2022 (26 June Evening Shift)
The locus of the mid point of the line segment joining the point (4, 3) and the points on the ellipse ${x^2} + 2{y^2} =…
Topic: JEE Main 2022 (26 June Evening Shift)
f the solution of the differential equation ${{dy} \over {dx}} + {e^x}\left( {{x^2} - 2} \right)y = \left( {{x^2} - 2x}…
Topic: JEE Main 2022 (26 June Evening Shift)
If $y = y(x)$ is the solution of the differential equation $x{{dy} \over {dx}} + 2y = x\,{e^x}$, $y(1) = 0$ then the lo…
Topic: JEE Main 2022 (26 June Evening Shift)
If $\int {{1 \over x}\sqrt {{{1 - x} \over {1 + x}}} dx = g(x) + c} $, $g(1) = 0$, then $g\left( {{1 \over 2}} \right)$…
Topic: JEE Main 2022 (26 June Evening Shift)
