1
WB JEE 2024
MCQ (Single Correct Answer)
+1
-0.25
Change Language

With origin as a focus and $$x=4$$ as corresponding directrix, a family of ellipse are drawn. Then the locus of an end of minor axis is

A
a circle
B
a parabola
C
a straight line
D
a hyperbola
2
WB JEE 2024
MCQ (Single Correct Answer)
+1
-0.25
Change Language

Chords $$\mathrm{AB}$$ & $$\mathrm{CD}$$ of a circle intersect at right angle at the point $$\mathrm{P}$$. If the length of AP, PB, CP, PD are 2, 6, 3, 4 units respectively, then the radius of the circle is

A
4 units
B
$$\frac{\sqrt{65}}{2}$$ units
C
$$\frac{\sqrt{67}}{2}$$ units
D
$$\frac{\sqrt{66}}{2}$$ units
3
WB JEE 2024
MCQ (Single Correct Answer)
+1
-0.25
Change Language

The plane $$2 x-y+3 z+5=0$$ is rotated through $$90^{\circ}$$ about its line of intersection with the plane $$x+y+z=1$$. The equation of the plane in new position is

A
$$3 x+9 y+z+17=0$$
B
$$3 x+9 y+z=17$$
C
$$3 x-9 y-z=17$$
D
$$3 x+9 y-z=17$$
4
WB JEE 2024
MCQ (Single Correct Answer)
+1
-0.25
Change Language

If the relation between the direction ratios of two lines in $$\mathbb{R}^3$$ are given by

$$l+\mathrm{m}+\mathrm{n}=0,2 l \mathrm{~m}+2 \mathrm{mn}-l \mathrm{n}=0$$

then the angle between the lines is ($$l, \mathrm{~m}, \mathrm{n}$$ have their usual meaning)

A
$$\frac{\pi}{6}$$
B
$$\frac{2 \pi}{3}$$
C
$$\frac{\pi}{2}$$
D
$$\frac{\pi}{4}$$
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