If `a` is the G.M. of `2\ a n d1/4,` find `adot`

If m is the A.M. of two distinct real numbers l and n""(""l ,""n"">""1) and G1, G2 and G3 are three geometric means between l and n, then G1 4+2G2 4+G3 4 equals, (1) 4l^2 mn (2) 4l^m^2 mn (3) 4l m n^2 (4) 4l^2m^2n^2

Find the area bounded by the x-axis, part of the curve y=(1+8/(x^2)) , and the ordinates at x=2a n dx=4. If the ordinate at x=a divides the area into two equal parts, then find adot

If the G.M. of a and b is (a^(n)+b^(n))/(a^(n-1)+b^(n-1)) then find the value of n.

If the A.M. between two positive numbers exceeds their G.M. by 2 and the ratio of the numbers be 1: 4 find the numbers .

State whether each of the following statements are true or false. If the statement is false re-write the given statement correctly: (i) If p={m , n}a n d\ Q={n , m},\ t h e n\ PxxQ={(m , n),\ (n , m)} (ii) If A and B are non empty sets then AxxB is a non empty set of ordered pairs (x , y) such that x in B\ a n d\ y in Adot (iii) If A={1,2},\ B={3,4},\ t h e n\ Axx(Bnnvarphi)=varphidot

In Fig.70. if\ l m n\ a n d\ /_1=60^0, find /_2.

In Fig.72, If l m ,\ n p\ a n d\ /_1=85^0, find /_2.

If | vec axx vec b|^2=( vec adot vec b)^2=144\ a n d\ | vec a|=4 , find vec bdot

If vec a\ a n d\ vec b are two vectors such that | vec axx vec b|=3\ a n d\ vec adot vec b=1, find the angle between vec a\ a n d\ vec b .

Find the rational number between -2/3a n d1/4dot