CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

If one of the roots of the equation ax2+bx+c=0 is reciprocal of the other, then choose the correct option.
 
 



A

c=a

loader
B

c=a2

loader
C

c=2a

loader
D

a=c2

loader

Solution

The correct option is A

c=a


Let’s assume one of the roots is α. If the roots are reciprocal of each other, the other root will be 1α
Observe that the product of both the roots is 1 i.e. α×1α=1 The formula for product of the roots of the quadratic equation is ca.
ca=1
c=a
Hence the correct option is c = a .


Mathematics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image