The equation (1 + n ^(2)) x ^(2) + 2 ncx...

The equation `(1 + n ^(2)) x ^(2) + 2 ncx + (c ^(2) - a ^(2)) = 0` will have equal roots if

A

`c ^(2) = 1 + a ^(2)`

B

`c ^(2) = 1 - a ^(2)`

C

`c ^(2) =1 + mn ^(2) + a ^(2)`

D

`c^(2) = (1 + n ^(2)) a ^(2)`

AI Generated Solution

Similar Questions

Explore conceptually related problems

If the equation (1+m^(2))x^(2)+2mcx+(c^(2)-a^(2))=0 has equal roots,prove that c^(2)=a^(2)(1+m^(2))

If the equation (a^(2)+b^(2))x^(2)-2 (ac +bd)x+c^(2)+d^(2)=0 , has equal roots , then

The roots of the equation (a^(2)+b^(2))x^(2)-2(bc+ad)x+(c^(2)+d^(2))=0 are equal if

If the roots of the quadratic equation (a-b) x^(2) + (b - c) x + (c - a) =0 are equal , prove that b +c = 2a

Show that if the roots of the equation (a^(2)+b^(2))x^(2)+2x(ac+bd)+c^(2)+d^(2)=0 are real,they will be equal

If the equation (m^(2)+n^(2))x^(2)-2(mp+nq)x+p^(2)+q^(2)=0 has equal roots,then

For what value of 'k' will the equation 2k x ^(2) -2 (1+2k)x + (3 +2k) =0 have real but distinct roots ? When will the roots be equal ?

If 2 is a root of the equation x^(2) + kx +12=0 and the equation x^(2)+kx +q=0 has equal roots, find the value of q.