| 2024-07-17 | The parabolas : \(a x^2+2 b x+c y=0\) and \(d x^2+2 e x+f y=0\) intersect on the line \(y=1\). I.... |
| 2024-07-17 | The sum of 10 terms of the series
\(\frac{3}{1^{2} \times 2^{2}} + \frac{5}{2^{2} \times 3^{2}} .... |
| 2024-07-17 | For the two positive numbers \(a, b\), if \(a, b\) and \(\frac{1}{18}\) are in a geometric progr.... |
| 2024-07-17 | The \(4^{\text {th }}\) term of GP is 500 and its common ratio is \(\frac{1}{m}, m \in N\). Let .... |
| 2024-07-17 | If \(0<x<1\), then \(\frac{3}{2} x^2+\frac{5}{3} x^3+\frac{7}{4} x^4+\ldots\), is equal to.... |
| 2024-07-17 | If the sum of an infinite GP \(a, a r, a r^2, a r^3, \ldots . .\). is 15 and the sum of the squa.... |
| 2024-07-17 | If \(\mathrm{m}\) arithmetic means (A.Ms) and three geometric means (G.Ms) are inserted between .... |
| 2024-07-17 | The value of (0.16)log2.513+132+133+… to ∞ is equal to.... |
| 2024-07-17 | Let \(S=2+\frac{6}{7}+\frac{12}{7^2}+\frac{20}{7^3}+\frac{30}{7^4}+\ldots\) Then \(4 S\) is equa.... |
| 2024-07-17 | If \(x=\sum_{n=0}^{\infty} a^n, y=\sum_{n=0}^{\infty} b^n, z=\sum_{n=0}^{\infty} c^n\), where \(.... |
| 2024-07-17 | Let \(R\) be a relation defined on \(N\) as \(a b\) is \(2 a+3 b\) is a multiple of \(5, a, b \i.... |
| 2024-07-17 | Let \(R\) be a relation defined on \(N\) as \(a b\) is \(2 a+3 b\) is a multiple of \(5, a, b \i.... |
| 2024-07-17 | A function \(\ f(x)\) is given by \(\ f(x)=\frac{5^x}{5^x+5}\), then the sum of the series \(\ f.... |
| 2024-07-17 | The number of bijective function \(f:\{1,3,5,7, \ldots .99\} \rightarrow\{2,4,6,8, \ldots, 100\}.... |
| 2024-07-17 | Let \(f(x)=\log _e(\sin x),(0<x<\pi)\) and \(g(x)=\sin ^{-1}\left(e^{-x}\right),(x \.... |
| 2024-07-17 | The range of the functionf(x)=log53+cos3π4+x +cosπ4+x +cosπ4-x-cos3π4-x.... |
| 2024-07-17 | The inverse function of f(x)=82x-8-2x82x+8-2x,x∈(-1,1), is.... |
| 2024-07-17 | If the domain of the function \(f(x)=\frac{[x]}{1+x^2}\), where \([x]\) is greatest integer \(\l.... |
| 2024-07-17 | The absolute minimum value, of the function \(f(x)=\left|x^2-x+1\right|\) \(+\left[x^2-x+1\right.... |
| 2024-07-17 | If \(\mathrm{R}=\left\{(x, y): x, y \in \mathbf{Z}, x^2+3 y^2 \leq 8\right\}\) is a relation on .... |
| 2024-07-17 | Consider functions \(f: A \rightarrow B\) and \(g: B \rightarrow C(A, B, C \subseteq R)\) such t.... |
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