1
WB JEE 2024
MCQ (More than One Correct Answer)
+2
-0
Change Language

If the quadratic equation $$a x^2+b x+c=0(a>0)$$ has two roots $$\alpha$$ and $$\beta$$ such that $$\alpha<-2$$ and $$\beta>2$$, then

A
$$c<0$$
B
$$\mathrm{a}+\mathrm{b}+\mathrm{c}>0$$
C
$$a - b + c<0$$
D
$$\mathrm{a}-\mathrm{b}+\mathrm{c}>0$$
2
WB JEE 2018
MCQ (More than One Correct Answer)
+2
-0
Change Language
If the equation $${x^2} - cx + d = 0$$ has roots equal to the fourth powers of the roots of $${x^2} + ax + b = 0$$, where $${a^2} > 4b$$, then the roots of $${x^2} - 4bx + 2{b^2} - c = 0$$ will be
A
both real
B
both negative
C
both positive
D
one positive and one negative
3
WB JEE 2017
MCQ (More than One Correct Answer)
+2
-0
Change Language
If a, b$$ \in $$ {1, 2, 3} and the equation ax2 + bx + 1 = 0 has real roots, then
A
a > b
B
a $$ \le $$ b
C
number of possible ordered pairs (a, b) is 3
D
a < b
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