| 2022-11-19 | Fill in the blanks:
In general, if \( \mathrm{P}(\mathrm{A}), \mathrm{P}(\mathrm{B}), \mathrm{P}... |
| 2022-11-19 | Check whether the following probabilities \( \mathrm{P}(\mathrm{A}) \) and \( \mathrm{P}(\mathrm... |
| 2022-11-19 | A committee of two persons is selected from two men and two women. What is the probability that ... |
| 2022-11-19 | Check whether the following probabilities \( P(A) \) and \( P(B) \) are consistently defined :
\... |
| 2022-11-19 | Out of 8 points in a plane, 5 are collinear. Find the probability that 3 points selected at rand... |
| 2022-11-19 | Sum to \( n \) terms the series whose \( n \)th term is \( \frac{1}{4 n^{2}-1} \). |
| 2022-11-19 | In an infinite geometric progression, the sum of first two terms is 6 and every term is four tim... |
| 2022-11-19 | Find the sum of 50 terms of the sequence \( 7,7.7,7.77,7.777, \ldots \) |
| 2022-11-19 | If \( a, b, c \) are in A.P., \( x \) is the G.M. between \( a \) and \( b, y \) is the G.M. bet... |
| 2022-11-19 | In an infinite geometric progression, the sum of first two terms is 6 and every term is four tim... |
| 2022-11-19 | Write short notes on : Polystomum, |
| 2022-11-19 | A manufacturer reckons that the value of the machine, which costs him \( ₹ 15625 \), will deprec... |
| 2022-11-19 | Insert \( n \) A.M.'s between \( n^{2} \) and 1 . |
| 2022-11-19 | If \( a, b, c, d \) and \( e \) are in A.P., then find the value of \( a-4 b+6 c-4 d+e \). |
| 2022-11-19 | If \( a, b, c \) are in A.P. and \( a, b, c+1 \) are in G.P., then prove that \( a=(a-b)^{2} \). |
| 2022-11-19 | Find four numbers in an A.P. whose sum is 20 and the sum of squares is 120 . |
| 2022-11-19 | If \( x, y \) and \( z \) are in A.P., then show that \( (x+2 y-z)(x+z-y)(z+2 y-x)=4 x y z \). |
| 2022-11-19 | Find the common difference of an A.P. whose first term is 100 and the sum of whose first six ter... |
| 2022-11-19 | Show that sum of the first \( n \) even natural numbers is \( \left(1+\frac{1}{n}\right) \) time... |
| 2022-11-19 | Divide 20 into four parts which form an A.P. such that the product of first and fourth bears a r... |
| 2022-11-19 | If the roots of the equation \( (b-c) x^{2}+(c-a) x+(a-b)=0 \) are equal, prove that \( a, b, c ... |
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