If `a=2,d=3` then find the value of `a^d+d^a`

Let a , b , c , d be positive integers such that (log)_a b=3/2a n d(log)_c d=5/4dot If (a-c)=9, then find the value of (b-d)dot

If the mean deviation of the numbers 1,1+d, 1+2d, 1+3d,…1+100d from their mean is 255, then find the value of d

If A is a square matrix of order 3 such that |A| =3, then find the value of |a d j(a d jA)|dot

If real numbers a, b, c, d, e satisfy a+1=b + 2 = c+ 3 = d + 4 = e + 5 = a + b + c + d + e + 3 then find the value of a^2 + b^2 + c^2 + d^2 + e^2

If a ,b ,c ,and d are in H.P., then find the value of (a^(-2)-d^-2)/(b^(-2)-c^-2) .

If A is a square matrix of order 3 such that |A| =3 then find the value of |(a d j A)|

If A ,B ,C ,D are four distinct point in space such that A B is not perpendicular to C D and satisfies vec A Bdot vec C D=k(| vec A D|^2+| vec B C|^2-| vec A C|^2=| vec B D|^2), then find the value of kdot

In triangle A B C ,D is on A C such that A D=B C' and BD=D C ,/_D B C=2x ,a n d/_B A D=3x , all angles are in degrees, then find the value of xdot

If a ,b ,c ,d are distinct integers in an A.P. such that d=a^2+b^2+c^2, then find the value of a+b+c+d

Given the for a,b,c,d in R, if a sec(200^@)- ctan(200^@)=d and b sec(200^@)+d tan(200^@)= c, then find the value of ((a^2+b^2+c^2+d^2)/(b d-a c))sin2 0^(@) .