The value of cos-1 (-x) is
cos-1 (x)
-cos-1 (x)
π- cos-1 (x)
none of these
The relation 'is parallel to' on the set A of all coplanar straight line is an __________ relation
Inverse
Equivalence
Universal
None of these
Let L be the set of all lines in the plane and R be the relation in L, defined as: R = {(L1, L2):L1 is perpendicular to L2}
Reflexive
Symmetric
Transitive
The domain of the function f = {(1,3),(3,5),(2,6)} is
1,3 and 2
{1,3,2}
{3,5,6}
3,5 and 6
If f(x) = (2x + 1)/3x - 2 then (fof) (2) is equal to
1
3
4
2
Let S be the set of all real numbers. Then the relation R = {(a,b) 1 + ab>0} on S is
Reflexive and symmetric but not transitive
Reflexive and transitive but not symmetric
Symmetric and transitive but not reflexive
Reflexive, transitive and symmetric
Let f:{2, 3, 4, 5} → {3, 4, 5, 9} and g = {3, 4, 5, 9} → {7, 11, 15} be functions defined as f(2) = 3, f(3) = 4, f(4) = f(5) = 5 and g(3) = g(4) = 7 and g(5) = g(11) = 11 Find gof (5)
11
7
10
5
Let f: A → B, g:B →C and h: C → D then
ho(gof) = (hog) of
hof = hog
(hog) of = hof
Let f:{2, 3, 4, 5} → {3, 4, 5, 9} and g = {3, 4, 5, 9} → {7, 11, 15} be functions defined as f(2) = 3, f(3) = 4, f(4) = f(5) = 5 and g(3) = g(4) = 7 and g(5) = g(11) = 11 Find g o f(2)
If the function f:R → R given by f(x) = x2 + 3x + 1 and g: R → R given by g(x) = 2x - 3, find fog
2x2 + 6x - 1
4x2 - 6x + 1
4x2 + 6x - 1
4x2 + 6x + 1
