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}{... |
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... |
2022-11-19 | Which term of the sequence \( 20,19 \frac{1}{4}, 18 \frac{1}{2}, 17 \frac{3}{4} \) is the first ... |
2022-11-19 | मान लीजिए कि \( f: \mathbf{R} \rightarrow \mathbf{R}, f(x)=x^{4} \) द्वारा परिभाषित है। सही उत्त... |
2022-11-19 | Find the arithmetic progression of 6 terms if first term is \( \frac{2}{3} \) and the last is \(... |
2022-11-19 | The ionic radii of \( \mathrm{C}^{4} \) and \( \mathrm{O}^{2-} \) are \( 2.60 \) and \( 1.40 \) ... |
2022-11-19 | Find the number of terms in the series \( 5+8+11+14+\ldots \) if the last term is 95 . |
2022-11-19 | Which term of the sequence \( 9-8 i, 8-6 i, 7-4 i, \ldots \) is real |
2022-11-19 | If the \( n \)th term of a sequence is an expression of first degree in \( n \), show that it is... |
2022-11-19 | In a sequence, the sum of first \( n \) terms is \( p n+q n^{2} \) where \( p, q \) are constant... |