1
WB JEE 2023
MCQ (Single Correct Answer)
+1
-0.25
Change Language

Let S be the sample space of the random experiment of throwing simultaneously two unbiased dice and $$\mathrm{E_k=\{(a,b)\in S:ab=k\}}$$. If $$\mathrm{p_k=P(E_k)}$$, then the correct among the following is :

A
$$\mathrm{p_1 < p_{10} < p_4}$$
B
$$\mathrm{p_1 < p_{8} < p_{14}}$$
C
$$\mathrm{p_1 < p_{8} < p_{17}}$$
D
$$\mathrm{p_1 < p_{16} < p_5}$$
2
WB JEE 2023
MCQ (Single Correct Answer)
+1
-0.25
Change Language

If $${1 \over 6}\sin \theta ,\cos \theta ,\tan \theta $$ are in G.P, then the solution set of $$\theta$$ is

(Here $$n \in N$$)

A
$$2n\pi \, \pm \,{\pi \over 6}$$
B
$$2n\pi \, \pm \,{\pi \over 3}$$
C
$$n\pi + {( - 1)^n}{\pi \over 3}$$
D
$$n\pi + {\pi \over 3}$$
3
WB JEE 2023
MCQ (Single Correct Answer)
+1
-0.25
Change Language

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
4
WB JEE 2023
MCQ (Single Correct Answer)
+1
-0.25
Change Language

Let A be the point (0, 4) in the xy-plane and let B be the point (2t, 0). Let L be the midpoint of AB and let the perpendicular bisector of AB meet the y-axis M. Let N be the midpoint of LM. Then locus of N is

A
a circle
B
a parabola
C
a straight line
D
a hyperbola
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
CBSE
Class 12