1
WB JEE 2018
MCQ (Single Correct Answer)
+1
-0.25
Change Language
If $${b_1}{b_2} = 2({c_1} + {c_2})$$ and b1, b2, c1, c2 are all real numbers, then at least one of the equations $${x^2} + {b_1}x + {c_1} = 0$$ and $${x^2} + {b_2}x + {c_2} = 0$$ has
A
real roots
B
purely imaginary roots
C
roots of the form a + ib (a, b$$ \in $$R, ab $$ \ne $$ 0)
D
rational roots
2
WB JEE 2017
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The greatest integer which divides $$(p + 1)(p + 2)(p + 3)...(p + q)$$ for all $$p \in N$$ and fixed $$q \in N$$ is
A
p!
B
q!
C
p
D
q
3
WB JEE 2017
MCQ (Single Correct Answer)
+1
-0.25
Change Language
If p, q are odd integers, then the roots of the equation $$2p{x^2} + (2p + q)x + q = 0$$ are
A
rational
B
irrational
C
non-real
D
equal
4
WB JEE 2017
MCQ (Single Correct Answer)
+2
-0.5
Change Language
Let $$\alpha$$ and $$\beta$$ be the roots of $${x^2} + x + 1 = 0$$. If n be a positive integer, then $$\alpha$$n + $$\beta$$n is
A
$$2\cos {{2n\pi } \over 3}$$
B
$$2\sin {{2n\pi } \over 3}$$
C
$$2\cos {{n\pi } \over 3}$$
D
$$2\sin {{n\pi } \over 3}$$
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