Find the values of each of the following expressions for `a=1,\ b=2\ a n d\ c=-1.` (i) `a^2+b^2+2a b` (ii) `2a^2-b^2c+3a b c`

Find the values of each of the following expressions for a=1,b=2 and c=-1a^(3)+b^(3)+c^(3)-3abca^(2)+b^(2)+c^(2)-ab-bc-ca

Evaluate each of the following algebraic expressions for x=1,\ y=-1, z=2,\ a=-2,\ b=1,\ c=-2: (i) a x+b y+c z (ii) a x^2+b y^2-c z^2 (iii) a x y+b y z+c x y

Place the last two terms in each of the following expressions in parentheses preceded by a '-^(prime) sign: 2a^2-b^2-3a b+6 (ii) a^2+b^2-c^2+a b-3a c

Find the value of a,b,c and d from equation : [(a-b,2a+c),(2a-b,3c+d)] = [(-1,5),(0,13)]

Comprehension (For Q.No.1 to 3) Let f(x)=x^2+2a x+b ,g(x)=c x^2+2dx+1 be quadratic expressions whose graph is a as shown in the figure. Here it is given that |A A^'|=|B B^'|a n d|O A^'|=|O B| Which of the following statements is correct a^2+d=d^2+c (b) a+d=b+c a^2+d^2=c+b (d) b c+c+a^2c+d^2

Find the value of b^(2) - 4ac , if (i) a= 3,b= 9 , c = 6 (ii) a= 2, b = - 8 , c = 8 (iii) a= 1, b = 1 , c = 1 .

Find the value of the determinant |{:(a^2,a b, a c),( a b,b^2,b c), (a c, b c,c^2):}|

Find the value of a,b,c and d from the equation: ,2a+c[[a-b,2a+c2a-b,3c+d]]=[[-1,50,13]]