1
WB JEE 2024
MCQ (Single Correct Answer)
+1
-0.25
Change Language

Let $$\mathrm{N}$$ be the number of quadratic equations with coefficients from $$\{0,1,2, \ldots, 9\}$$ such that 0 is a solution of each equation. Then the value of $$\mathrm{N}$$ is

A
29
B
39
C
90
D
81
2
WB JEE 2024
MCQ (Single Correct Answer)
+1
-0.25
Change Language

If $$a, b, c$$ are distinct odd natural numbers, then the number of rational roots of the equation $$a x^2+b x+c=0$$

A
must be 0
B
must be 1
C
must be 2
D
cannot be determined from the given data
3
WB JEE 2023
MCQ (Single Correct Answer)
+1
-0.25
Change Language

If one root of $${x^2} + px - {q^2} = 0,p$$ and $$q$$ are real, be less than 2 and other be greater than 2, then

A
$$4 + 2p + {q^2} > 0$$
B
$$4 + 2p + {q^2} < 0$$
C
$$4 + 2p - {q^2} > 0$$
D
$$4 + 2p - {q^2} < 0$$
4
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25
Change Language

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
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