Let $P(\alpha,\beta,\gamma)$ be the point on the line $\frac{x-1}{2} = \frac{y+1}{-3} = z$ at a distance $4\sqrt{14}$ from the point $(1,-1,0)$ and nearer to the origin. Then the shortest distance between the lines $\frac{x-\alpha}{1} = \frac{y-\beta}{2} = \frac{z-\gamma}{3}$ and $\frac{x+5}{2} = \frac{y-10}{1} = \frac{z-3}{1}$ is equal to:
Previous 10 Questions — JEE Main 2026 (22 January Morning Shift)
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Let $f(x) = x^{2025} - x^{2000},; x \in [0,1]$ and maximum value of the function $f(x)$ in the interval $[0,1]$ be $\le…
Topic: JEE Main 2026 (22 January Morning Shift)
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Let the line $x = -1$ divide the area of the region
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Topic: JEE Main 2026 (22 January Morning Shift)
Let the relation $R$ on the set $M = {1,2,3,\ldots,16}$ be given by
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Topic: JEE Main 2026 (22 January Morning Shift)
Let $\overrightarrow{AB} = 2\hat{i} + 4\hat{j} - 5\hat{k}$ and $\overrightarrow{AD} = \hat{i} + 2\hat{j} + \lambda \hat…
Topic: JEE Main 2026 (22 January Morning Shift)
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If a random variable $x$ has the probability distributionthen $P(3 < x \le 6)$ is equal to:
Topic: JEE Main 2026 (22 January Morning Shift)
The number of distinct real solutions of the equation x|x+4| + 3|x+2| + 10 = 0 is
Topic: JEE Main 2026 (22 January Morning Shift)
Let $f : [1,\infty) \to \mathbb{R}$ be a differentiable function. If
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If the image of the point $P(1, 2, a)$ in the line
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Topic: JEE Main 2026 (22 January Morning Shift)
Let the set of all values of $r$, for which the circles
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The value of $\displaystyle \int_{-\pi/2}^{\pi/2} \frac{1}{[x] + 4},dx$, where $[\cdot]$ denotes the greatest integer f…
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The coefficient of $x^{48}$ in $(1 + x)^2(1 + x^2 + 3(1 + x)^3 + \cdots + 100(1 + x)^{100})$ is equal to
Topic: JEE Main 2026 (22 January Morning Shift)
