The roots of the equation `|[1,1,1],[a,x,a],[b,b,x]|=0` are
(a) 1,1, (b) 1,a (c) 1,b, (d) a,b

If a=1+b+b^2+b^3+…..to oo where |b|lt1 then roots of equation ax^2+x-ab=0 are (A) -1,ab (B) 1,b (C) -1, b (D) -1,a

If a and b are roots of the equation x^2+a x+b=0 , then a+b= (a) 1 (b) 2 (c) -2 (d) -1

Roots of the equations |{:(x,,m,,n,,1),(a,,x,,n,,1),(a,,b,,x,,1),(a,,b,,c,,1):}|=0 are

Find the roots of the equation 1/(a+b+x)-1/x=1/a+1/b ?

If sum of the roots of the quadratic equation,ax^(2)+bx+c=0, then the sum of the roots of the equation,a(x+1)^(2)+b(x+1)+c=0 is: (a)9 (b) 10 (c) 12(d)14

If alpha and beta are the roots of the equation x^(2)-x+1=0, then alpha^(2009)+beta^(2009)=-1 (b) 1( c) 2(d)-2

if a,b and c are the roots of the equation x^3+2x^2+1=0 , find |{:(a,b,x),(b,c,a),(c,a,b):}|

If one root is nth power of the other root of this equation x^(2)-ax+b=0 then, b^(n/(n+1))+b^(1/(n+1)) = (A) a (B) a^(n) (C) b^(n) (D) ab

if the roots of the equation a(b-c)x^(2)+b(c-a)x+c(a-b)=0 are equal then show that (2)/(b)=(1)/(a)+(1)/(c)

if the roots of the equation a(b-c)x^(2)+b(c-a)x+c(a-b)=0 are equal then show that (2)/(b)=(1)/(a)+(1)/(c)