| 2022-11-19 | Sum to infinity the following series: \[ 1-\frac{3}{2}+\frac{5}{4}-\frac{7}{8}+\ldots \] |
| 2022-11-19 | Sum to infinity the following series: \[ 1+\frac{3}{2}+\frac{5}{2^{2}}+\frac{7}{2^{3}}+\ldots \] |
| 2022-11-19 | If \( \log _{3} 2, \log _{3}\left(2^{x}-5\right) \) and \( \log _{3}\left(2^{x}-\frac{7}{2}\righ... |
| 2022-11-19 | If \( a, b, c \) are in A.P., prove that \[ a^{3}+c^{3}+6 a b c=8 b^{3} \text {. } \] |
| 2022-11-19 | If \( a b+b c+c a \neq 0 \) and \( a, b, c \) are in A.P., prove that \( a^{2}(b+c), b^{2}(c+a),... |
| 2022-11-19 | In submerged hydrophytes the stomata occur :
(A) on lower surface
(B) on upper surface
(C) no wh... |
| 2022-11-19 | Coherent sources are characterized by the same
(A) phase and phase velocity.
(B) wavelength, amp... |
| 2022-11-19 | If \( a, b, c \) are in A.P., prove that \[ a^{2}+c^{2}+4 a c=2(a b+b c+c a) \] |
| 2022-11-19 | If \( a, b, c \) are in A.P., show that \( (a-c)^{2}=4\left(b^{2}-a c\right) \) |
| 2022-11-19 | If \( a+b+c \neq 0 \) and \( \frac{b+c}{a}, \frac{c+a}{b}, \frac{a+b}{c} \) are in A.P., prove t... |
| 2022-11-19 | If \( a, b, c \) are in A.P., prove that \( b+c, c+a \) and \( a+b \) are also in A.P. |
| 2022-11-19 | A person purchases a television set for \( ₹ 16000 \). Its life is estimated to be 20 years. If ... |
| 2022-11-19 | In the sequences \( 2,5,8, \ldots \) upto 50 terms and \( 3,5,7, \ldots \) upto 60 terms, find t... |
| 2022-11-19 | Which term of the series \( 4+0-4-8 \ldots \) is \( -392 ? \) |
| 2022-11-19 | If \( \frac{1}{a}, \frac{1}{b}, \frac{1}{c} \) are in A.P., show that \( \frac{a}{c}=\frac{a-b}{... |
| 2022-11-19 | How many numbers of two digits are divisible by 6 ? |
| 2022-11-19 | For what value of \( n \), the \( n \)th terms of the sequences \( 3,10,17, \ldots \) and \( 63,... |
| 2022-11-19 | Find the second term and the \( r \) th term of an A.P. whose sixth term is 12 and eighth term i... |
| 2022-11-19 | Find the 20 th term from the end of the sequence \( 3,8,13, \ldots, 253 \). |
| 2022-11-19 | The third term of an A.P. is 25 and tenth term is \( -3 \). Find the first term and the common d... |
| 2022-11-19 | Abyssal zone in ocean has :
(A) no sunlight but contains consumers and decomposers
(B) no sunlig... |
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