1
GATE ME 2022 Set 2
MCQ (Single Correct Answer)
+1
-0.33
A polynomial ψ(s) = ansn + an-1sn-1 + ......+ a1s + a0 of degree n > 3 with constant real coefficients an, an-1, ... a0 has triple roots at s = -σ. Which one of the following conditions must be satisfied?
A
ψ(s) = 0 at all the three values of s satisfying s3 + σ3 = 0
B
ψ(s) = 0, $\frac{d\psi(s)}{ds}=0$ and $\frac{d^2\psi(s)}{ds^2}=0$ at s = -σ
C
ψ(s) = 0, $\frac{d^2\psi(s)}{ds^2}=0$ and $\frac{d^4\psi(s)}{ds^4}=0$ at s = -σ
D
ψ(s) = 0, $\frac{d^3\psi(s)}{ds^3}=0$  at s = -σ
2
GATE ME 2022 Set 1
MCQ (Single Correct Answer)
+1
-0.33

The limit

$\rm p = \displaystyle\lim_{x \rightarrow \pi} \left( \frac{x^2 + α x + 2 \pi^2}{x - \pi + 2 \sin x} \right)$

has a finite value for a real α. The value of α and the corresponding limit p are

A
α = -3π, and p = π
B
α = -2π, and p = 2π
C
α = π, and p = π
D
α = 2π, and p = 3π
3
GATE ME 2020 Set 1
MCQ (Single Correct Answer)
+1
-0.33
Define [x] as the greatest integer less than or equal to x, for each x ϵ (-∞, ∞). If y = [x], then area under y for x ϵ [1,4] is
A
1
B
3
C
4
D
6
4
GATE ME 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
The value of $$\mathop {\lim }\limits_{x \to 0} \left( {{{{x^3} - \sin \left( x \right)} \over x}} \right)$$ is
A
$$0$$
B
$$3$$
C
$$1$$
D
$$-1$$
GATE ME Subjects
Turbo Machinery
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