Home
Class 11
MATHS
if the roots of the quadratic equation (...

if the roots of the quadratic equation `(x-m)/(mx+1)= (x+n)/(nx+1)` are reciprocal to each other, then

A

m=n

B

`m+n=1`

C

`m^(2)+n^(2)=1`

D

n=0

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

(b)Solve the quadratic equation x^2+x+1=0

If the roots of the quadratic equation 3x^(2) + 2x + a^(2) - a = 0 in x are of opposite signs, then a lies in the interval a) (-oo, -2) b) (-oo, 0) c) (-1, 0) d) (0, 1)

If the roots of the quadratic equation m x^(2) - n x + k = 0 are tan 33^(@) and tan 12^(@) , then the value of (2m + n + k)/(m) is equal to

If one root of the quadratic equation ax^(2)+bx+c= 0 is equal to the nth power of the order, then prove that (ac^(n))^((1)/(n+1)) + (a^(n)c)^((1)/(n+1))=-b

If alpha, beta are the roots of the quadratic equation x^(2)-2(1-sin 2theta) x-2 cos^(2) 2 theta=0, (theta in R) then find the minimum value of (alpha^(2)+beta^(2)) .