|[H,x,I+x],[I-x,I+x-z^(x)]|" (II) "

(i) Find the value of a = [{x}] + [{-x}] + {[x]} + {[-x]} + {x} + {-x} (ii) Solve the equation 2x = [x] + {x}

(i) Find the value of a = [{x}] + [{-x}] + {[x]} + {[-x]} + {x} + {-x} (ii) Solve the equation 2x = [x] + {x}

Verify that x xx(y-z)=x xxy-x xxz , if (i) x=(4)/(5), y=-(7)/(4) "and" z=3 (ii) x=(3)/(4), y=(8)/(9) "and" z=-5

Matrix A=[{:(0,2y,z),(x,y,-z),(x,-y,z):}] if A A^(T)=I then , (x,y,z)=(...,...,...)(x,y,zgt0)

If A={:[(x,y),(z,-x)] , such that A^(2)=I , then____

If i= (sqrt-1) , prove that following (x+1+i) (x+ 1-i) (x-1-i) (x-1+ i)= x^(4) + 4

In Fig.78, we have (i) ( i i ) (iii)/_M L Y=2/_L M Q , (iv) (v) find ( v i ) (vii)/_L M Q (viii) (ix) (x) ( x i ) (xii)/_X L M=( x i i i ) (xiv)(( x v ) (xvi)2x-10 (xvii))^(( x v i i i )0( x i x ))( x x ) (xxi) (xxii) and ( x x i i i ) (xxiv)/_L M Q=x+( x x v ) (xxvi) 30^(( x x v i i )0( x x v i i i ))( x x i x ) , (xxx) (xxxi) find ( x x x i i ) (xxxiii) xdot( x x x i v ) (xxxv) (xxxvi) ( x x x v i i ) (xxxviii)/_X L M=/_P M L ,\ ( x x x i x ) (xl) find ( x l i ) (xlii)/_A L Y (xliii) (xliv) (xlv) ( x l v i ) (xlvii)/_A L Y=( x l v i i i ) (xlix)(( l ) (li)2x-15 (lii))^(( l i i i )0( l i v ))( l v ) ,\ /_L M Q=( l v i ) (lvii)(( l v i i i ) (lix) x+40 (lx))^(( l x i )0( l x i i ))( l x i i i ) , (lxiv) (lxv) find ( l x v i ) (lxvii) xdot( l x v i i i ) (lxix)

For making graph of equations |y|=|f(|x|)| through y=f(x) which order of step is right among the following order of Step I : y=f(|x|) (replace x by |x| ) Step II : y=|f(x)| (take modulus of R.H.S ) Step III : |y|=f(x) (replace y by |y| ) (A) I , II , III (B) II , I , III (C) III , II , I (D) III , I , II

Convert the following points from polar coordinates to the corresponding Cartesian coordinates. (i) ( i i ) (iii)(( i v ) (v)2, (vi)pi/( v i i )3( v i i i ) (ix) (x))( x i ) (xii) (ii) ( x i i i ) (xiv)(( x v ) (xvi)0, (xvii)pi/( x v i i i )2( x i x ) (xx) (xxi))( x x i i ) (xxiii) (iii) ( x x i v ) (xxv)(( x x v i ) (xxvii)-sqrt(( x x v i i i )2( x x i x ))( x x x ) , (xxxi)pi/( x x x i i )4( x x x i i i ) (xxxiv) (xxxv))( x x x v i ) (xxxvii)

Match the following : {:("Column - I" , "Column - II"),("(A) The smallest positive integer for which" (1 +i)^(n)=(1-i)^(n)" is " , "(p) 1"),("(B) If " root3(a+ib) =x +iy and b/y -a/x = k (x^(2) +y^(2)) " then k is equal to " , "(p) -3 " ),("(C) If " x=(1+i)/sqrt2 ", then the value of "1 +x^(2)+x^(4)+x^(6)+x^(8)+x^(10)+....+ x^(2004)+x^(2006) +x^(2008), "(r) 2"),("(D) If the minimum value of " |z+1+i|+|z-1-i|+|2-z|+|3-z| " is k then (k-8) equals " ,"(s)4 "):}