`a\ a n d\ b` are two co-primes. Which of the following is/are true? (a) LCM `(a ,\ b)=\ a\*\ b` (b) HCF `(a ,\ b)=1` (c) Both `(a)a n d\ (b)` (d) Neither `(a)\ n o r \ (b)`

If x\ a n d\ y are two co-primes, then their LCM is (a) x y (b) x+y (c) x/y (d) 1

In the expansion of (a+b)^(n) , if two consecutive terms are equal, then which of the following is/are always integer ? (a) ((n+1)b)/(a+b) (b) ((n+1)a)/(a+b) (c) (na)/(a-b) (d) (na)/(a+b)

If x\ a n d\ y are co-primes, then their LCM is (a)1 (b) x/y (c) x y (d) None of these

Let R be a relation in N defined by R={(a , b); a , b in N\ a n d\ a=b^2dot} Are the following true: (i)\ (a , a) in R\ AA\ a in N (ii)\ (a , b) in R=>(b , a) in R (iii)\ (a , b) in R ,(b , c) in R=>(a , c) in R

In Figure D\ a n d\ E are two points on B C such that B D=D E=E Cdot Show that a r(\ A B D)=\ a r\ (\ A D E)=a r\ (\ A E C)dot

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

If a fraction a/b is a lowest terms. Then HCF of a\ a n d\ b is a (b) b (c)1 (d) ab

In Figure, A B C\ a n d\ ABD are two triangles on the base A B . If line segment C D is bisected by A B\ a t\ O , show that a r\ (/_\ A B C)=a r\ (\ /_\ A B D)

Let A and B be two sets such that n(A)=5\ a n d\ n(B)=2,\ if\ a ,\ b ,\ c ,\ d ,\ e are distinct and (a ,2),\ (b ,3),\ (c ,2),\ (d ,3),\ (e ,2) are in AxxB , find A and B.

In A B C ,\ /_A=100^0a n d\ A B=A Cdot Find /_B\ a n d\ /_C