Let S be the set of points, whose abscissae and ordinates are natural numbers. Let p e S, such that the sum of the distance of P from (8, 0) and (0, 12) is minimum among all elemants in S. Then, the number of such points P in S is
1
3
5
11
If p.q are the · roots of the equation x2 + px + q =0, then
p = 1, q = - 2
p = 0, q = 1
p = - 2, q = 0
p = - 2, q = 1
A.
p = 1, q = - 2
Given, p, q are roots of equation x2 + px + q = 0.
...(i)
and pq = q
Put p = 1 in equation (i), we get
Hence p = 1, q = - 2
The number of ways in which the letters of the word ARRANGE can be permuted such that the R's occur together, is