A value of `b` for which the equation `x^2+b x-1=0,x^2+x+b=0` have one root in common is `-sqrt(2)` b. `-isqrt(3)` c. `sqrt(2)` d. `sqrt(3)`

The value of b for which the equation x^(2)+bx-1=0 and x^(2)+x+b=0 have one root in common is ( a -sqrt(2)(b)-i sqrt(3) (c) i sqrt(5)(d)sqrt(2)

The set of value of a for which both the roots of the equation x^2-(2a-1)x+a=0 are positie is (A) {(2-sqrt(3))/2} (B) {(2-sqrt(3))/2,(2+sqrt(3))/2} (C) [(2+sqrt(3)/2,oo) (D) none of these

If one root x^(2)-x-k=0 is square of the other,then k=a.2+-sqrt(5)b.2+-sqrt(3)c3+-sqrt(2)d.5+-sqrt(2)

If the equation x^(2)+x-b^(2)=0 and x^(2)-bx-1=0 have a common root then number of values of b is/are

If the equation x^(2)+bx-a=0 and x^(2)-ax+b=0 have a common root,then a.a +b=0 b.a=b c.a-b=1 d.a+b=1

The number of roots of the equation,2^(x)-1-sqrt(4-x^(2))=0( A) one (C) zero (B) two

If c!=0 and the equation p/(2x)=a/(x+c)+b/(x-c) has two equal roots,then p can be (sqrt(a)-sqrt(b))^(2) b.(sqrt(a)+sqrt(b))^(2) c.a+b d.a-b

IF x^2 + a x + bc = 0 and x^2 + b x + c a = 0 have a common root , then a + b+ c=