| 2022-11-19 | Sum to \( n \) terms the following series : \[ 1+5 x^{2}+9 x^{4}+13 x^{6}+\ldots,|x|1 \] |
| 2022-11-19 | Xeric environment is characterised by :
(A) precipitation
(B) low atmospheric humidity
(C) extre... |
| 2022-11-19 | Sum to infinity the following series: \[ 1-\frac{2}{5}+\frac{3}{5^{2}}-\frac{4}{5^{3}}+\ldots \] |
| 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 | Which term of the sequence \( 9-8 i, 8-6 i, 7-4 i, \ldots \) is purely imaginary? |
| 2022-11-19 | For all real \( a, b \), prove that \( (a-b)^{2}, a^{2}+b^{2} \) and \( (a+b)^{2} \) are in A.P. |
| 2022-11-19 | Show that \( a^{2}, b^{2}, c^{2} \) are in A.P. iff \( \frac{1}{b+c}, \frac{1}{c+a}, \frac{1}{a+... |
| 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}{... |
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