If N denote the set of all natural numbers and R be the relation on N N defined by (a, b) R (c, d), if ad(b + c) = bc(a + d), then R is
symmetric only
reflexive only
transitive only
an equivalence relation
A cmplex number z is such that arg. The points representing this complex number will lie on
an ellipse
a parabola
a circle
a straight line
If a1, a2 and a3 be any positive real numbers, then which of the following statement is not true?
3a1a2a3
(a1 + a2 + a3)
(a1 . a2 . a3)
The centres of a set of circles, each of radius 3, lie on the circles x2 + y2 = 25. the locus of any point in the set is
A tower AB leans towards West making an angle with the vertical. The angular elevation of B, the top most point of the tower is as observed from a point C due East of A at a distance 'd' from A. If the angular elevation of B from a point D due East of C at a distance 2d from C is r, then 2 can be given as
If are the roots of x2 - ax + b = 0 and if = Vn, then
Vn + 1 = aVn + bVn - 1
Vn + 1 = aVn + aVn - 1
Vn + 1 = aVn - bVn - 1
Vn + 1 = aVn - 1 + bVn
The sum of the series
is
None of these
A.
The angle of intersection of the circles x2 + y2 - x + y - 8 = 0 and x2 + y2 + 2x + 2y - 11 = 0 is