If ` A=[[1,2],[-1,-2]]` then `A^2` is equal to

If A=[[-1,(3)/(2)],[-(1)/(2),(1)/(2)]] then A^(2) is equal to

If A=[[-1, 3/2] , [-1/2, 1/2]] then I+ A+ A^2+... is equal to

If A=[(1,2,2),(2,1,2),(2,2,1)] then A^(2)-4A is equal to

The inverse of a matrix A is given by [(-2,1),(3/2, -1/2)] What is A equal to?

If cos theta =1/2 (x+1/x ) , then 1/2(x^(2) +1/(x^(2))) is equal to :

If for complex numbers z_(1) and z_(2) and |1-bar(z_(1))z_(2)|^(2)-|z_(1)-z_(2)|^(2)=k(1-|z_(1)|^(2))(1-|z_(2)|^(2)) then k is equal to:

If y=(sin^(-1)x)^(2), then (1-x^(2))y_(2) is equal to xy_(1)+2(b)xy_(1)-2(c)xy_(1)+2(d) none of these

The director circle of the parabola (y-2)^(2)=16(x+7) touches the circle (x-1)^(2)+(y+1)^(2)=r^(2) then r is equal to

If the line x-1=0 divides the area bounded by the curves 2x+1=sqrt(4y+1),y=x and y=2 in two regions of area A_(1) and A_(2)(A_(1)

If the equation of the ellipse with foci (pm4 ,0) and length of latus rectum (20)/(3) is (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 then (1)/(2)|a^(2)-b^(2)| is equal to