Q23 / 82 · NTA Abhyas (JEE Main) 2020 · Mathematics · Quadratic Equation

If the roots of the equation ax2+bx+c=0 are in the ratio m : n , then

  • Correct answer
    A
    mn b2=ac m+n2
  • B
    b2m+n=mn
  • C
    m+n=b2mn
  • D
    mnc2=ab m+n2

Solution

Let the roots are mr and nr

mr+nr=-ba⇒rm+n=-ba… 1

and mnr2=ca     … 2

Eliminating r , we get

b2mn=cam+n2

Hence, the correct answer is option: 'A'.

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