(4,2)& X...

A=[[2,1],[4,1]]; B=[[3,4],[2,3]] & c=[[3,-4],[-2,3]], tr(A)+tr[(ABC)/2]+tr[ (A(BC)^2)/4]+tr[(A(BC)^2)/8]+.....oo is:

P ,Q have position vectors vec a& vec b relative to the origin ' O^(prime)&X , Ya n d vec P Q internally and externally respectgively in the ratio 2:1 Vector vec X Y= a. 3/2( vec b- vec a) b. 4/3( vec a- vec b) c. 5/6( vec b- vec a) d. 4/3( vec b- vec a)

The function f(x)=int_(-1)^x t(e^t-1)(t-1)(t-2)^3(t-3)^5dt has a local minimum at x= a.0&1 b. 1&3 c. 0&3 d. 2 & 3

I fcos ^ (- 1) x / a + cos ^ (- 1) y / b = (5pi) / 12andsin ^ (- 1) x / a-sin ^ (- 1) y / b = pi / 12t hen ( x ^ 2) / (a ^ 2) + (y ^ 2) / (b ^ 2) = 1) 12) 1 & sol43) 3 & sol4

Two thin rods AB & CD of lengths 2a & 2b move along OX & OY respectively, when 'O' is the origin. The equation of locus of the centre of the circle passing through the extremeties of the two rods is: a. x^2+y^2=a^2+b^2 b. x^2-y^2=a^2-b^2 c. x^2+y^2=a^2-b^2 d. x^2-y^2=a^2+b^2

A fuse wire with radius of 0.2mm blows off with a current of 5 Amp. The fuse wire of same material,but of radius 0.3 mm will blow off with a current of (1) 5xx(3)/(2)Amp (2). (5sqrt(3))/(2)Amp (3). 5sqrt((27)/(8))Amp (4). 5 Amp

A rod ferromagnetic with dimensions 10 xx 0.5 xx0.2 cm is placed in a magnetic field of strength 0.5xx 10^(4) amp/m as a result of which a magnetic moment of 4 amp- m^(2) is produced in the rod.The value of magnetic induction will be

(Z_ (1) -1) / (Z_ (1) -4) | = 2 & | (Z_ (2) -4) / (Z_ (2) -1) | = 2 the Z_ (1) -Z_ (2 ) | _ (max) - | Z_ (1) + Z_ (1) | _ (min) =?

(Z_ (1) -1) / (Z_ (1) -4) | = 2 & | (Z_ (2) -4) / (Z_ (2) -1) | = 2 the Z_ (1) -Z_ (2 ) | _ (max) - | Z_ (1) + Z_ (1) | _ (min) =?

A polynomial P(x) of third degree vanish when x=1 & x=-2 . This polynomial have the values 4 & 28 when x=-1 and x=2 respectively. P(i),w h e r ei=sqrt(-1) is a. purely real b. Purely imaginary c. imaginary d. None of these