Roots of the equation `|x m n1a x n1a b x1a b c1|=0` are independent of `m ,a n dn` independent of `a ,b ,a n dc` depend on `m ,n ,a n da ,b ,c` independent of `m , na n da ,b ,c`

Roots of the equations |{:(x,,m,,n,,1),(a,,x,,n,,1),(a,,b,,x,,1),(a,,b,,c,,1):}|=0 are

If roots of equation x^(2)-(2n+18)x-n-11=0(n in1) are rational number for n=a and n=b then |a-b| is

If 1/(b-a)+1/(b-c)=1/a+1/c , then A. a ,b ,a n dc are in H.P. B. a ,b ,a n dc are in A.P. C. b=a+c D. 3a=b+c

Events Aa n dC are independent. If the probabilities relating A ,B ,a n dC are P(A)=1//5, P(B)=1//6; P(AnnC)=1//20 ; P(BuuC)=3//8. Then (a)events Ba n dC are independent (b)events Ba n dC are mutually exclusive events.(c) Ba n dC are neither independent nor mutually exclusive (d)events Ba n dC are equiprobable

If m and n are the roots of the equation ax ^(2) + bx + c = 0, then the equation whose roots are ( m ^(2) + 1 ) // m and ( n ^(2)+1) //n is

The term independent of x in (1+x)^(m)(1+(1)/(x))^(n) is

A ,B ,Ca n dD have position vectors vec a , vec b , vec ca n d vec d , respectively, such that vec a- vec b=2( vec d- vec c)dot Then a. A Ba n dC D bisect each other b. B Da n dA C bisect each other c. A Ba n dC D trisect each other d. B Da n dA C trisect each other

Let f(x)=a sin^(n)x+b cos ec^(n)x,x in(0,pi),a,b in R^(+),n in N then(A) f(x) attains a maximum value which is independent of n,a and b