Let R be a relation such that R={(a d) (c g) (d e) (d f) (g f)} then (ROR^(1))^(-1) is

Let R be a relation such that R={(a d) (c g) (d e) (d f) (g f)} then (R@R^(-1))^(-1) is qquad {(d d) (g g) (e e) (f f) (e f) (f e)} O{(e a) (f a) (f c)} O{(a e) (a f) (c f) O{(d d) (g g) (e e) (f f) (e f)}

Let R be a relation such that R={(a d) (c g) (d e) (d f) (g f)} then (R@R^(-1))^(-1) is qquad {(d d) (g g) (e e) (f f) (e f) (f e)} O{(e a) (f a) (f c)} O{(a e) (a f) (c f) O{(d d) (g g) (e e) (f f) (e f)}

Let R be a relation such that R={(a c) (c g) (d e) (d f) (g f)} then (RoR^(1))^(-1) is O(d d) (g g) (e e) (f f) (e f) (f e)} O {(e a) (f a) (f c)} O {(a e) (a f) (c f) 0 {(d c) (g g) (e e) (f f) (e f)}

Let R be a relation such that R={(a d) (c g) ) (d e) (d f) (g f)} then (R R^(-1))^(-1) is {(d d) (g g) (e e) (f f) (e f) (f e)} {(e a) (f a) (f c)} {(a e) (a f) (c f) {(d d) (g g) (e e) (f f) (e f)}

If A B C and D E F are two triangles such that (A B)/(D E)=(B C)/(E F)=(C A)/(F D)=2/5 , then A r e a( A B C): A r e a( D E F)= 2:5 (b) 4: 25 (c) 4: 15 (d) 8: 125

Let R be a relation on NxxN defined by (a , b) R(c , d)hArra+d=b+c for a l l (a , b),(c , d) in NxxN show that: (i) (a , b)R (a , b) for a l l (a , b) in NxxN (ii) (a , b)R(c , d)=>(c , d)R(a , b)for a l l (a , b), (c , d) in NxxN (iii) (a , b)R (c , d)a n d (c , d)R(e ,f)=>(a , b)R(e ,f) for all (a , b), (c , d), (e ,f) in NxxN

Let f : R to R be differentiable at c in R and f(c ) = 0 . If g(x) = |f(x) |, then at x = c, g is

Let f:R rarr R be such that f(1)=3andf'(1)=6. Then lim_(x rarr0)((f(1+x))/(f(1)))^(1/x)=(a)1( b) e^((1)/(2))(c)e^(2) (d) e^(3)

Let R be a relation over the set NxxN and it is defined by (a,b)R(c,d)impliesa+d=b+c . Then R is