मान लीजिय कि Tकिसीसमतलत्रिभुजोका एकसमूचयाहै | समूचया T मे R = {(T _(1 ), T _(1 ))in R rArrT_(1),...

If R:S=3:1 and S:T=1:5, then R:S:T=______.

If T_(r)=r(r^(2)-1), then find sum_(r=2)^(oo)(1)/(T)

Show that the relation R defined in the set A of all triangles as R={(T_(1),T_(2)):T_(1) is similar to T_(2) }, is equivalence relation.

The half-life of a radioactive sample is T . If the activities of the sample at time t_(1) and t_(2) (t_(1) lt t_(2)) and R_(1) and R_(2) respectively, then the number of atoms disintergrated in time t_(2)-t_(1) is proportional to

Two planets move around the sun. The periodic times and the mean radii of the orbits are T_(1), T_(2) and r_(1) r_(2) respectively. The ratio T_(1)//T_(2) is equal to

Let T be the set of all triangles in a plane with R as relation in T given by R={(T_(1),T_(2)):T_(1)~=T_(2)}. Show that R is an equivalence relation.

Activity of a radioactive substance is R_(1) at time t_(1) and R_(2) at time t_(2) (t_(2) gt t_(1)) then the ratio (R_(2))/( R_(1)) is :