Algebra
Complex NumbersLogarithmsQuadratic EquationsSequences and SeriesPermutations and CombinationsProbabilitySets and RelationsBinomial TheoremVector AlgebraThree Dimensional GeometryMatrices and DeterminantsStatisticsTrigonometry
Trigonometric Ratios & IdentitiesTrigonometric EquationsInverse Trigonometric FunctionsProperties of TrianglesCalculus
FunctionsLimits, Continuity and DifferentiabilityDifferentiationApplication of DerivativesIndefinite IntegrationDefinite IntegrationArea Under The CurvesDifferential EquationsCoordinate Geometry
Straight Lines and Pair of Straight LinesCircleParabolaEllipseHyperbolaSequences and Series
Practice QuestionsMCQ (Single Correct Answer)
1
If $1 \cdot 3 \cdot 5+3 \cdot 5 \cdot 7+5 \cdot 7 \cdot 9 \ldots$ to $n$ terms $=n(n+1) f(n)$, then $f(2)=$
TG EAPCET 2024 (Online) 11th May Morning Shift
2
Assertion (A) : $1+\frac{2 \cdot 1}{3 \cdot 2}+\frac{2 \cdot 5}{3 \cdot 6} \frac{1}{4}+\frac{2 \cdot 5 \cdot 8}{3 \cdot 6 \cdot 9} \frac{1}{8}+\ldots \infty=\sqrt[3]{4}$
Reason (R) : |x| < 1,(1-x) $=1+n x+\frac{n(n+1)}{1 \cdot 2} x^2$$+\frac{n(n+1)(n+2)}{1 \cdot 2 \cdot 3} x^{3}+\ldots$
The correct answer is :
TG EAPCET 2024 (Online) 10th May Evening Shift
3
Among the following four statements, the statement which is not true, for all $n \in N$ is
TG EAPCET 2024 (Online) 10th May Morning Shift
4
$\frac{1}{3 \cdot 6}+\frac{1}{6 \cdot 9}+\frac{1}{9 \cdot 12}+\ldots \ldots .$. to 9 terms $=$
TG EAPCET 2024 (Online) 9th May Evening Shift
5
When $|x|<2$, then coefficient of $x^2$ in the power series expansion of $\frac{x}{(x-2)(x-3)}$, is
TG EAPCET 2024 (Online) 9th May Morning Shift
6
The roots of the equation $x^3-14 x^2+56 x-64=0$ are in
TS EAMCET 2023 (Online) 12th May Morning Shift