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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 zero MY ATTEMPT: from the question, sum of roots=zero hence -b/a=0, this implies b=0 then 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 zero hence b^2-4ac>0 since b=zero hence -4ac>0 this implies c is not equal to zero SO MY ANSWER CAME (D) BUT THE RIGHT ONE IS (C) , PLEASE EXPLAIN! THANKS IN ADVANCE!

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 zero

MY ATTEMPT:

from the question, sum of roots=zero
hence -b/a=0, this implies b=0

then 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 zero

hence b^2-4ac>0

since b=zero
hence -4ac>0 this implies c is not equal to zero

SO MY ANSWER CAME (D)

BUT THE RIGHT ONE IS (C) , PLEASE EXPLAIN!

THANKS IN ADVANCE!

Grade:12th pass

4 Answers

Pushpendra
16 Points
7 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
16 Points
7 years ago
yea.. exactly so it is (d). but correct is (C) option
Lucky
9 Points
7 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.
RAJAT CHHABRA
16 Points
7 years ago
mine is correct then! +3 yay

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