1
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
$$n\pi + {\pi \over 3}$$
2
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
3
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
4
WB JEE 2023
MCQ (Single Correct Answer)
+1
-0.25
Change Language

If $$4{a^2} + 9{b^2} - {c^2} + 12ab = 0$$, then the family of straight lines $$ax + by + c = 0$$ is concurrent at

A
$$(2,3)$$ or $$( - 2, - 3)$$
B
$$( - 2,3)$$ or $$(2,3)$$
C
$$(3,2)$$ or $$( - 3,2)$$
D
$$( - 3,2)$$ or $$(2,3)$$
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