The line y = x + is tangent to the ellipse 2x2 + 3y2 = 1. Then, is
- 2
1
C.
The equation of the line y = x +
On comparing it with y = mx + c, we get
m = 1 and c =
The equation of the ellipse is
2x2 + 3y2 = 1
or
On comparing it with , we get
If the line touches the ellipse, then
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
The number of ways in which the letters of the word ARRANGE can be permuted such that the R's occur together, is