The intersection point y=0 with the first line si B(-p, 0). The intersection point of y=0 with the second line is A(-q, 0). The intersection point of the two line is C(pq, (p+1)(q+1) The altitude from C to AB is x = pq. The altitude from B to AC is `y = -(q)/(1+q)(x+p)` Solving these two, we get x=pq and y=-pq. Therefore, the locus of the orthocenter is x+y=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 ............
