If `A=[a b c d]` (where `b c!=0` ) satisfies the equations `x^2+k=0,t h e n` `a+d=0` b. `K=-|A|` c. `k=|A|` d. none of these

If A=[[a,bc,d]] (where bc!=0 ) satisfies the equations x^(2)+k=0, then a+d=0, b.K=-|A| c.k=|A|d .none of these

If A = [[a,b],[c,d]] (where bc ne0 ) satisfies the equations x^(2) + k = 0, then

A plane meets the coordinate axes at A ,\ B ,\ C such that the centroid of "Delta A B C is the point (a ,\ b ,\ c) . If the equation of the plane is x/a+y/b+z/c=k ,\ t h e n\ k= 1 b. 2 c. 3 d. none of these

A plane meets the coordinate axes at A ,\ B ,\ C such that the centroid of "Delta A B C is the point (a ,\ b ,\ c) . If the equation of the plane is x/a+y/b+z/c=k ,\ t h e n\ k= 1 b. 2 c. 3 d. none of these

If c and d are roots of the equation (x-a) (x-b) - k = 0, then a, b are roots of the equation

If 1 is the twice repeated root of the equation a x^3+b x^2+b x+d=0,t h e n (a) a=b=d (b) a+b=0 (c) b+d=0 (d) a=d

If 1 is the twice repeated root of the equation a x^3+b x^2+b x+d=0,t h e n (a) a=b=d (b) a+b=0 (c) b+d=0 (d) a=d

If 1 is a twice repeated root of the equation a x^3+b x^2+b x+d=0,t h e n (a) a=b=d (b) a+b=0 (c) b+d=0 (d) a=d

Let A be an nth-order square matrix and B be its adjoint, then |A B+K I_n| is (where K is a scalar quantity) a. (|A|+K)^(n-2) b. (|A|+K)^n c. (|A|+K)^(n-1) d. none of these

Let A be an nth-order square matrix and B be its adjoint, then |A B+K I_n| is (where K is a scalar quantity) a. (|A|+K)^(n-2) b. (|A|+K)^n c. (|A|+K)^(n-1) d. none of these