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Q JEE MAIN 2021
The sum of first four terms of a geometric progression (G.P.) is $\frac{65}{12}$ and the sum of their respective reciprocals is $\frac{65}{18}$. If the product...
JEE MainMathematicsMedium
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QJEE MAIN 2021
Let $\mathrm{a}, \mathrm{b}, \mathrm{c}$ be in arithmetic progression. Let the centroid of the triangle with vertices $(\mathrm{a}, \mathrm{c}),(2, \mathrm{~b})$ and $(a, b)$ be $\left(\frac{10}{3}, \frac{7}{3}\right)$....
JEE MainMathematicsMedium
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Q JEE MAIN 2021
If the curve $y=a x^2+b x+c, x \in R$, passes through the point $(1,2)$ and the tangent line to this curve at origin is $y=x$,...
JEE MainMathematicsEasy
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QJEE MAIN 2021
The missing value in the following figure is
JEE MainMathematicsMedium
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QJEE MAIN 2021
$\frac{1}{3^2-1}+\frac{1}{5^2-1}+\frac{1}{7^2-1}+\ldots \ldots+\frac{1}{(201)^2-1}$ is equal to
JEE MainMathematicsMedium
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QJEE MAIN 2021
If $\alpha, \beta$ are natural numbers such that $100^\alpha-199 \beta=$ (100) $(100)+(99)(101)+(98)(102)+\ldots . .+(1)$ (199), then the slope of the line passing through $(\alpha, \beta)$...
JEE MainMathematicsMedium
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QJEE-MAIN 2021
Consider an arithmetic series and a geometric series having four initial terms from the set {11, 8, 21, 16, 26, 32, 4}. If the last...
JEE MainMathematicsEasy
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QJEE MAIN 2021
The sum of the infinite series $1+\frac{2}{3}+\frac{7}{3^2}+\frac{12}{3^3}+\frac{17}{3^4}+\frac{22}{3^5}+\ldots$ is equal to
JEE MainMathematicsEasy
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QJEE MAIN 2021
In a increasing geometric series, the sum of the second and the sixth term is $\frac{25}{2}$ and the product of the third and fifth term...
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