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JEE Main 2004
Exam
JEE Main
Year
2004
Subject
Mathematics
Chapter
Quadratic Equation

JEE Main 2004 · Mathematics · Quadratic Equation

If one root of the equation x^2+p x+12=0 is 4 , while the equation...

If one root of the equation x2+px+12=0x^2+p x+12=0 is 4 , while the equation x2+px+q=0x^2+p x+q=0 has equal roots, then the value of ' qq ' is

Options

  1. A494\frac{49}{4}
  2. B4
  3. C3
  4. D12

Correct answer

A. 494\frac{49}{4}

Step-by-step solution

Since 4 is one of the root of x2+px+12=0⇒16+4p+12=0⇒p=−7x^2+p x+12=0 \Rightarrow 16+4 p+12=0 \Rightarrow p=-7 and equation x2+px+q=0x^2+p x+q=0 has equal roots \Rightarrow D=49-4 q=0 \Rightarrow q=494\frac{49}{4}
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