if the roots of the equation ax^2+bx+c=0 are negative of each other then?
a) c=0
b)b=c=0
c)b=0
d)b=0,c not equal to zeroMY ATTEMPT:from the question, sum of roots=zero
hence -b/a=0, this implies b=0then since there are two real roots then the curve must be cutting the x axis at two points.. so its discriminant shall be greater than zerohence b^2-4ac>0since b=zero
hence -4ac>0 this implies c is not equal to zeroSO MY ANSWER CAME (D)BUT THE RIGHT ONE IS (C) , PLEASE EXPLAIN!THANKS IN ADVANCE!
RAJAT CHHABRA , 10 Years ago
Grade 12th pass
4 Answers
Pushpendra
Last Activity: 10 Years ago
if c would be zero then there would exists only 1 value of x. since the roots are equal and opposite, its equation will definitely contain the c term unless the root is zero.
RAJAT CHHABRA
Last Activity: 10 Years ago
yea.. exactly so it is (d). but correct is (C) option
Lucky
Last Activity: 10 Years ago
strictly speaking c and d both are correct because c doesn`t specify c to be 0 and d mentions the hidden fact in c that c should not be zero.