1
WB JEE 2024
+1
-0.25

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
$$83 x+35 y+92=0$$
2
WB JEE 2024
+1
-0.25

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
$$\left(\frac{11}{2}, \frac{1}{2}\right)$$
3
WB JEE 2023
+1
-0.25

A, B are fixed points with coordinates (0, a) and (0, b) (a > 0, b > 0). P is variable point (x, 0) referred to rectangular axis. If the angle $$\angle$$APB is maximum, then

A
$${x^2} = ab$$
B
$${x^2} = a + b$$
C
$$x = {1 \over {ab}}$$
D
$$x = {{a + b} \over 2}$$
4
WB JEE 2023
+1
-0.25

The equation $${r^2}{\cos ^2}\left( {\theta - {\pi \over 3}} \right) = 2$$ represents

A
a parabola
B
a hyperbola
C
a circle
D
a pair of straight lines
EXAM MAP
Medical
NEET