Equation `(a+5)x^2-(2a+1)x+(a-1)=0` will have roots equal in magnitude but opposite in sign if `a=` (A) 1 (B) -1 (C) 2 (D) `-1/2`

If roots of ax^2+bx+c=0 are equal in magnitude but opposite in sign, then

If two roots of x ^(3) -ax ^(2) + bx -c =0 are equal in magnitude but opposite in sign. Then:

If the roots (1)/(x+k+1)+(2)/(x+k+2)=1 are equal in magnitude but opposite in sign, then k =

If the equation a/(x-a)+b/(x-b)=1 has two roots equal in magnitude and opposite in sign then the value of a+b is

If the equation a/(x-a)+b/(x-b)=1 has two roots equal in magnitude and opposite in sign then the value of a+b is

For what value of m will the equation (x^2-bx)/(ax-c)=(m-1)/(m+1) have roots equal in magnitude but opposite in sign?

If two roots of x^3-a x^2+b x-c=0 are equal in magnitude but opposite in signs, then prove that a b=c

If two roots of the equation x^3 - px^2 + qx - r = 0 are equal in magnitude but opposite in sign, then:

The value of m for which the equation x^3-mx^2+3x-2=0 has two roots equal rea magnitude but opposite in sign, is

If the roots of the equation 1/ (x+p) + 1/ (x+q) = 1/r are equal in magnitude but opposite in sign, show that p+q = 2r & that the product of roots is equal to (-1/2)(p^2+q^2) .