Let the slope of the required line be m. Then `|(m+sqrt(3))/(1-sqrt(3)m)| = sqrt(3)` `therefore m+sqrt(3) = +-(sqrt(3)-3m)` `therefore m=0 " or " m =sqrt(3)` Therefore, the equation is `y+2 = sqrt(3)(x-3)(m ne 0 " as given that line cuts the x-axis")` `"or " sqrt(3)x-y-(2+3sqrt(3)) = 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.
Formulate into a mathematical problem to find a number such that when its cube root is added to it, the result is 6.