1
WB JEE 2022
+1
-0.25

If a, b are odd integers, then the roots of the equation $$2a{x^2} + (2a + b)x + b = 0$$, $$a \ne 0$$ are

A
rational
B
irrational
C
non-real
D
equal
2
WB JEE 2022
+2
-0.5

The value of a for which the sum of the squares of the roots of the equation $${x^2} - (a - 2)x - a - 1 = 0$$ assumes the least value is

A
0
B
1
C
2
D
3
3
WB JEE 2021
+1
-0.25
Let $$\alpha$$, $$\beta$$ be the roots of the equation x2 $$-$$ 6x $$-$$ 2 = 0 with $$\alpha$$ > $$\beta$$. If an = $$\alpha$$n $$-$$ $$\beta$$n for n $$\ge$$ 1, then the value of $${{{a_{10}} - 2{a_8}} \over {2{a_9}}}$$ is
A
1
B
2
C
3
D
4
4
WB JEE 2020
+1
-0.25
The expression ax2 + bx + c (a, b and c are real) has the same sign as that of a for all x if
A
b2 $$-$$ 4ac > 0
B
b2 $$-$$ 4ac $$\ne$$ 0
C
b2 $$-$$ 4ac $$\le$$ 0
D
b and c have the same sign as that of a
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Physics
Mechanics
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Optics
Modern Physics
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Organic Chemistry
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