Home
Class 14
MATHS
If the equation (a^(2)+b^(2))x^(2)-2(ac+...

If the equation `(a^(2)+b^(2))x^(2)-2(ac+bd)x+(c^(2)+d^(2))=0` has equal roots, then which one of the following is correct?

A

`ab=cd`

B

`ad=bc`

C

`a^(2)+c^(2)=b^(2)+d^(2)`

D

`ac=bd`

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

If the roots of the equation (a^(2) + b^(2)) x^(2) - 2b ( a+c) x+ ( b^(2) + c^(2)) = 0 are equal , then which one of the following is correct ?

The equation (a^(2)+b^(2))x^(2)-2b(a+c)x+(b^(2)+c^(2))=0 has equal roots. Which one of the following is correct about a,b and c ?

If (a^(2)+b^(2))x^(2)+2(ab+bd)x+c^(2)+d^(2)=0 has real 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 equation (a ^(2) – bc) x ^(2) + (b ^(2) – ac) x + (c ^(2) – ab) = 0 are equal, where b = 0, then which one of the following is correct ?