1
WB JEE 2024
MCQ (Single Correct Answer)
+2
-0.5
Change Language

$$ \text { If } 1000!=3^n \times m \text { where } m \text { is an integer not divisible by } 3 \text {, then } n= $$

A
498
B
298
C
398
D
98
2
WB JEE 2024
MCQ (Single Correct Answer)
+2
-0.5
Change Language

If $$A$$ and $$B$$ are acute angles such that $$\sin A=\sin ^2 B$$ and $$2 \cos ^2 A=3 \cos ^2 B$$, then $$(A, B)=$$

A
$$\left(\frac{\pi}{6}, \frac{\pi}{4}\right)$$
B
$$\left(\frac{\pi}{6}, \frac{\pi}{6}\right)$$
C
$$\left(\frac{\pi}{4}, \frac{\pi}{6}\right)$$
D
$$\left(\frac{\pi}{4}, \frac{\pi}{4}\right)$$
3
WB JEE 2024
MCQ (Single Correct Answer)
+2
-0.5
Change Language

If two circles which pass through the points $$(0, a)$$ and $$(0,-a)$$ and touch the line $$\mathrm{y}=\mathrm{m} x+\mathrm{c}$$, cut orthogonally then

A
$$c^2=a^2\left(1+m^2\right)$$
B
$$c^2=a^2\left(2+m^2\right)$$
C
$$c^2=a^2\left(1+2 m^2\right)$$
D
$$2 c^2=a^2\left(1+m^2\right)$$
4
WB JEE 2024
MCQ (Single Correct Answer)
+2
-0.5
Change Language

The locus of the midpoint of the system of parallel chords parallel to the line $$y=2 x$$ to the hyperbola $$9 x^2-4 y^2=36$$ is

A
$$8 x-9 y=0$$
B
$$9 x-8 y=0$$
C
$$8 x+9 y=0$$
D
$$9 x-4 y=0$$
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12