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,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

In a Delta leABC,A>B if A and B satisfy the equation 3sin x-4sin^(3)x-k=0,0

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

Let f(x)=a+b|x|+c|x|^(4), where a,b and c are real constants.Then,f(x) is differentiable at x=0, if a=0 (b) b=0( c) c=0(d) none of these

Let f(x)=a+b|x|+c|x|^(4), where a,b, and c are real constants.Then,f(x) is differentiable at x=0, if a=0( b) b=0 (c) c=0( d) none of these

If a , b , c are in GP, then the equations a x^2+2b x+c=0 and dx^2+2e x+f=0 have a common root, if, d/a , e/b ,f/c are (1985, 2M) AP (b) GP (c) HP (D) None of these

If A=[(a,b),(c,d)] is such that |A|=0 and A^(2)-(a+d)A+kI=0 ,then k is equal to