There are two possible values of A`(say A_(1)&A_(2))` in the solution of matrix equation `[[2A+1,-5],[-4,A]]^(-1)``[[A-5,B],[2A-2,C]]`=`[[14,D],[E,F]]` then find `-27(A_(1)+A_(2))`

If e^(e^(x)) = a_(0) +a_(1)x +a_(2)x^(2)+... ,then find the value of a_ (0)

Matrix A =[(1,2,3),(1,1,5),(2,4,7)] then the value of A_(31) A_(31) +a_(32) A_(32) +a_(33)A_(33) is

Matrix A=[(1,2,3),(1,1,5),(2,4,7)] , then the value of a_(31)A_(31)+a_(32)A_(32)+a_(33)A_(33) is

A_(1) and A_(2) are two vectors such that |A_(1)| = 3 , |A_(2)| = 5 and |A_(1)+A_(2)| = 5 the value of (2A_(1)+3A_(2)).(2A_(1)-2A_(2)) is

If a_(1),a_(2),a_(3),a_(4) are are the roots of the equation 3x^(4)-(1+m)x^(3)+2x+5l=0 and Sigma a_(1)=3,a_(1),a_(2),a_(3),a_(4),=10 then (1,m)=

The number of all possible 5-tuples (a_(1),a_(2),a_(3),a_(4),a_(5)) such that a_(1)+a_(2) sin x+a_(3) cos x + a_(4) sin 2x +a_(5) cos 2 x =0 hold for all x is

If a_(1) and a_(2) aare two non- collineaar unit vectors and if |a_(1)+a_(2)|=sqrt(3), ,then value of (a_(1)-a_(2)).(2a_(1)-a_(2)) is

Consider the sequence defined by a_(n)=an^(2)+bn+* If a_(1)=1,a_(2)=5,anda_(3)=11, then find the value of a_(10).

If A_(1) denotes area of the region bounded by the curves C_(1):y=(x-1)e^(x) tangent to C_(1) at (1,0)&y -axis and A_(2) denotes the area of the region bounded by C_(1) and co-ordinate axes in the fourth quadrant then (A) A_(1)>A_(2)(B)A_(1)