1
WB JEE 2022
MCQ (More than One Correct Answer)
+2
-0
Change Language

Let p(x) be a polynomial with real co-efficient, p(0) = 1 and p'(x) > 0 for all x $$\in$$ R. Then

A
p(x) has at least two real roots
B
p(x) has only one positive real root
C
p(x) may have negative real root
D
p(x) has infinitely many real roots
2
WB JEE 2022
MCQ (More than One Correct Answer)
+2
-0
Change Language

Twenty metres of wire is available to fence off a flower bed in the form of a circular sector. What must the radius of the circle be, if the area of the flower bed be greatest?

A
10 m
B
4 m
C
5 m
D
6 m
3
WB JEE 2022
MCQ (More than One Correct Answer)
+2
-0
Change Language

The line y = x + 5 touches

A
the parabola y2 = 20 x
B
the ellipse $$9{x^2} + 16{y^2} = 144$$
C
the hyperbola $${{{x^2}} \over {29}} - {{{y^2}} \over 4} = 1$$
D
the circle $${x^2} + {y^2} = 25$$
4
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25
Change Language

WB JEE 2022 Physics - Magnetism Question 5 English

Two infinite line-charges parallel to each other are moving with a constant velocity v in the same direction as shown in the figure. The separation between two line-charges is d. The magnetic attraction balances the electric repulsion when, [ c = speed of light in free space ]

A
$$v = \sqrt 2 c$$
B
$$v = {c \over {\sqrt 2 }}$$
C
$$v = c$$
D
$$v = {c \over 2}$$
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