The inequality `t^2-2 a.t+1 > 0,` is true `AA t in R,` then `a in`

Tangents drawn to the parabola y^(2)=8x at the points P(t_(1)) and Q(t_(2)) intersect at a point T and normals at P and Q intersect at a point R such that t_(1) and t_(2) are the roots of equation t^(2)+at+2=0;|a|>2sqrt(2) then locus of R is

The activity of a radioactive substance is R_(0) at t = 0 , R_(1) at t = t and R_(2) at t = 2t . The decay constant of this species is/are given by:

The points (a t_1^2, 2 a t_1),(a t_2^2, 2a t_2) and (a ,0) will be collinear, if

One junction of a certain thermoelectric couple is at a fixed temperature r T and the other junction is at temperature T . The thermo electromotive force for this is expressed by E=K(T-T_(r ))[T_(0)-(1)/(2)(T+T_(r ))] . At temperature T=(1)/(2)T_(0) , the thermoelectric power is

One junction of a certain thermoelectric couple is at a fixed temperature r T and the other junction is at temperature T . The thermo electromotive force for this is expressed by E=K(T-T_(r ))[T_(0)-(1)/(2)(T+T_(r ))] . At temperature T=(1)/(2)T_(0) , the thermoelectric power is

One junction of a certain thermoelectric couple is at a fixed temperature r T and the other junction is at temperature T . The thermo electromotive force for this is expressed by E=K(T-T_(r ))[T_(0)-(1)/(2)(T+T_(r ))] . At temperature T=(1)/(2)T_(0) , the thermoelectric power is

The temperature coefficient of resistance of conductor varies as alpha(T) = 3T^2 +2T. If R_0 is resistance at T = 0and R is resistance at T, then

The temperature coefficient of resistance of conductor varies as alpha(T) = 3T^2 +2T. If R_0 is resistance at T = 0and R is resistance at T, then

Let g (x) int_(0)^(x) f(t) dy=t , where f is such that (1)/(2) le f (t) le 1 for tin [0,1] and 0 le f (t) le (1)/(2) for t in [1 ,2] . then . g (2) satis fies the inequality