For $z \in \mathbb{C}$ if the minimum value of $\lvert z - 3\sqrt{2}\rvert + \lvert z - p\sqrt{2}i\rvert$ is $5\sqrt{2}$, then a value of $p$ is ________.
Next 10 Questions — JEE Main 2022 (25 July Evening Shift)
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The number of real values of $\lambda$, such that the system of linear equations$2x - 3y + 5z = 9$$x + 3y - z = -18$$3x…
Topic: JEE Main 2022 (25 July Evening Shift)
The number of bijective functions $f:\{1,3,5,7,\ldots,99\}\to\{2,4,6,8,\ldots,100\}$ such that$f(3)\ge f(9)\ge f(15)\ge…
Topic: JEE Main 2022 (25 July Evening Shift)
The remainder when $(11)^{1011} + (1011)^{11}$ is divided by $9$ is
Topic: JEE Main 2022 (25 July Evening Shift)
$\lim_{x \to \tfrac{\pi}{4}} \dfrac{8\sqrt{2} - (\cos x + \sin x)^7}{\sqrt{2} - \sqrt{2}\sin 2x}$ is equal to
Topic: JEE Main 2022 (25 July Evening Shift)
If $A$ and $B$ are two events such that $P(A) = \tfrac{1}{3},\ P(B) = \tfrac{1}{5}$ and $P(A \cup B) = \tfrac{1}{2}$, t…
Topic: JEE Main 2022 (25 July Evening Shift)
Let $[t]$ denote the greatest integer less than or equal to $t$. Then the value of the integral $…
Topic: JEE Main 2022 (25 July Evening Shift)
Let the point $P(\alpha, \beta)$ be at a unit distance from each of the two lines $L_1 : 3x - 4y + 12 = 0$, …
Topic: JEE Main 2022 (25 July Evening Shift)
If the ellipse $\dfrac{x^2}{a^2} + \dfrac{y^2}{b^2} = 1$ meets the line $\dfrac{x}{7} + \dfrac{y}{2\sqrt{6}} = 1$ on th…
Topic: JEE Main 2022 (25 July Evening Shift)
Let the foci of the ellipse $\dfrac{x^{2}}{16}+\dfrac{y^{2}}{7}=1$ and the hyperbola $\dfrac{x^{2}}{144}-\dfrac{y^{2}}{…
Topic: JEE Main 2022 (25 July Evening Shift)
The shortest distance between the lines $\dfrac{x+7}{-6} = \dfrac{y-6}{7} = z$ and $\d…
Topic: JEE Main 2022 (25 July Evening Shift)
