A. x2 + x + 1=0
B. x2 - x + 1=0
C. x2 +c x + ab=0
D. x2 - c x + ab=0
If α,β are the roots of ax2+bx+c=0 then (α/β – β/α)2=
α and β are the roots of the equation x2+px+p3=0,(p≠0).If the points (α,β) lies on the curve x=y2,then the roots of the given equation are
If the roots of x2+bx+c=0 are two consecutive integers then b2-4c=
A number consists of two digits whose product is 30.If the digits are interchanged the resulting numbers will exceed the previously by 9.The number is
If the roots of x2-2(5+2k)x+3(7+10k)=0 are equal then k=
The quadratic equations x2 – 6xa = 0 and x2 – cx + 6 = 0 and have one root in common. The other roots of the first and second equations are integers in the ratio 4 : 3. Then the common root is
3x-5x2+12 has maximum at x=
The cost of a cloth piece is Rs.35/-.If the length of the cloth piece is 4 metres more and each metre costs Rs.1/- less,the cost would remain unchanged.The length of the cloth piece is
If x2-y2+4x-6y+k is resolvable into two linear factors then k=
The expression x2-5x-6 is negative if x lies in