Solving given lines for their point of intersection, we get the point of intersection as (-c/(a+b), -c/(a+b)). Its distance from (1, 1) is `sqrt((1+(c)/(a+b))^(2) + (1+(c)/(a+b))^(2)) lt 2sqrt(2) " " ("given")` `"or " (a+b+c)^(2) lt 4(a+b)^(2) " or " (a+b+c)^(2)-(2a+2b)^(2) lt 0` `"or " (c-a-b)(c+3a+3b) lt 0` `"Since "a gt b gt c gt 0, (c-a-b) lt 0 " or "a+b-c gt 0`
A school library has 75 books on Mathematics, 35 books on physics. A student can choose only one book , In how many ways a student can choose a book on Mathematics or physics?
The first theorem in mathematics is ………… .
There are 15 candidates for an examination . 7 candidates are appearing for mathematics examination while the remaining 8 are appearing for different subjects. In how many ways can they be seated in a row so that no two mathematics candidates are together ?
There are 15 candidates for an examination. 7 candidates are appearing for mathematics examination while the remaning 8 are appearing for different subjects. In how many ways can they be seated in a row so that no two mathematics candidates are together?
There are 15 candidates for an examination. 7 candidates are appearing for mathematics examination while the remaining 8 are appearing for different subjects . In how many ways can they be seated in a row so that no two mathematics candidates are together ?
A bag contains a total of 20 books on physics and mathematics, Any possible combination of books is equally likely. Ten books are chosen from the bag and it is found that it contains 6 books of mathematics. Find out the probability that the remaining books in the bag contains 3 books on mathematics.
The probability that a student will score centum in mathematics is (4)/(5) . The probability that he will not score centum is ............
