[" A.I.C B.S.E.Kashmir "B,2011" ; R."B" ,"2010" ) "],[[" (a) "-1,2),(1,5)" and "(3,4)," (A."C,C,B.E,2014)],[" (W) "(3,0),(4,5)" and "(5,1)," (PB,"2013)]]

Let R be a relation on NxxN defined by (a , b)\ R(c , d)hArra+d=b+c\ if\ (a , b),(c , d) in NxxN then 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 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

( r_ 1) /( (s-b) (s-c) ) + ( r_2)/( (s-c) (s-a) ) + ( r_3)/((s-a) ( s-b)) = (3)/(r)

In Delta ABC, if (a-b)(s-c)=(b-c)(s-a) then r_(1),r_(2),r_(3) are in

sum_(k=1)^m(k^2+1)k=2009xx2010!, then m= (A) 2009 (B) 2010 (C) 2011 (D) none of these

sum_(k=1)^m(k^2+1)k=2009xx2010!, then m= (A) 2009 (B) 2010 (C) 2011 (D) none of these

Let R be a relation from N to N defined by R" "=" "{(a ," "b)" ":" "adot" "b in N and a=b^2 ). Are the following true? (i) (a ," "a) in R ," "for" "a l l" "a in N (ii) (a ," "b) in R ," "i m p l i e s" "(b ," "a) in R (iii) (a ," "

Let A,B are square matrices of same order satisfying AB=A and BA=B then (A^(2010)+B^(2010))^(2011) equals (A)A+B(B)2010(A+B)(C)2011(A+B)(D)2^(2010)(A+B)(C)2011(A+B)(D)