Let the line $L$ intersect the lines $x-2=-y=z-1$, $2(x+1)=2(y-1)=z+1$ and be parallel to the line $\dfrac{x-2}{3}=\dfrac{y-1}{1}=\dfrac{z-2}{2}$. Then which of the following points lies on $L$?
Previous 10 Questions — JEE Main 2024 (9 April Morning Shift)
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A ray of light coming from the point $P(1,2)$ gets reflected from the point $Q$ on the $x$-axis and then passes through…
Topic: JEE Main 2024 (9 April Morning Shift)
Let $\lambda,\mu\in\mathbb{R}$. If the system of equations
$3x+5y+\lambda z=3$
$7x+11y-9z=2$
$97x+155y-189z=\mu$
has in…
Topic: JEE Main 2024 (9 April Morning Shift)
The solution curve of the differential equation $2y\dfrac{dy}{dx}+3=5\dfrac{dy}{dx}$, passing through the point $(0,1)$…
Topic: JEE Main 2024 (9 April Morning Shift)
A variable line $L$ passes through the point $(3,5)$ and intersects the positive coordinate axes at the points $A$ and …
Topic: JEE Main 2024 (9 April Morning Shift)
The shortest distance between the lines
$\dfrac{x - 3}{4} = \dfrac{y + 7}{-11} = \dfrac{z - 1}{5}$
and
$\dfrac{x - 5}{3…
Topic: JEE Main 2024 (9 April Morning Shift)
Let $f(x) = x^{2} + 9$, $g(x) = \dfrac{x}{x - 9}$,
and $a = f \circ g(10)$, $b = g \circ f(3)$.
If $e$ and $l$ denote t…
Topic: JEE Main 2024 (9 April Morning Shift)
Let $\alpha, \beta$ be the roots of the equation
$ x^{2} + 2\sqrt{2}x - 1 = 0 $.
The quadratic equation whose roots are…
Topic: JEE Main 2024 (9 April Morning Shift)
Let
$ \displaystyle \int \frac{2 - \tan x}{3 + \tan x} , dx = \frac{1}{2} \left( \alpha x + \log_e \left| \beta \sin x …
Topic: JEE Main 2024 (9 April Morning Shift)
Let a circle passing through $(2, 0)$ have its centre at the point $(h, k)$.
Let $(x_c, y_c)$ be the point of intersect…
Topic: JEE Main 2024 (9 April Morning Shift)
The frequency distribution of the age of students in a class of 40 students is given below.If the mean deviation about …
Topic: JEE Main 2024 (9 April Morning Shift)
