1
WB JEE 2025
MCQ (Single Correct Answer)
+1
-0.25
Change Language

Consider three points $P(\cos \alpha, \sin \beta), Q(\sin \alpha, \cos \beta)$ and $R(0,0)$, where $0<\alpha, \beta<\frac{\pi}{4}$. Then

A
$P$ lies on the line segment $R Q$.
B
$Q$ lies on the line segment $P R$.
C
$R$ lies on the line segment $P Q$.
D
$P, Q, R$ are non-collinear.
2
WB JEE 2025
MCQ (Single Correct Answer)
+1
-0.25
Change Language

The line parallel to the $x$-axis passing through the intersection of the lines $a x+2 b y+3 b=0$ and $b x-2 a y-3 a=0$ where $(a, b) \neq(0,0)$ is

A
above $x$-axis at a distance $\frac{3}{2}$ from it.
B
above $x$-axis at a distance $\frac{2}{3}$ from it.
C
below $x$-axis at a distance $\frac{3}{2}$ from it.
D
below $x$-axis at a distance $\frac{2}{3}$ from it.
3
WB JEE 2024
MCQ (Single Correct Answer)
+1
-0.25
Change Language

If $$(1,5)$$ be the midpoint of the segment of a line between the line $$5 x-y-4=0$$ and $$3 x+4 y-4=0$$, then the equation of the line will be

A
$$83 x+35 y-92=0$$
B
$$83 x-35 y+92=0$$
C
$$83 x-35 y-92=0$$
D
$$83 x+35 y+92=0$$
4
WB JEE 2024
MCQ (Single Correct Answer)
+1
-0.25
Change Language

In $$\triangle \mathrm{ABC}$$, co-ordinates of $$\mathrm{A}$$ are $$(1,2)$$ and the equation of the medians through $$\mathrm{B}$$ and C are $$x+\mathrm{y}=5$$ and $$x=4$$ respectively. Then the midpoint of $$\mathrm{BC}$$ is

A
$$\left(5, \frac{1}{2}\right)$$
B
$$\left(\frac{11}{2}, 1\right)$$
C
$$\left(11, \frac{1}{2}\right)$$
D
$$\left(\frac{11}{2}, \frac{1}{2}\right)$$
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