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AP EAMCET2001MathematicsQuadratic Equation

If , are the roots of the equation x^2+b x+c=0 and +h, +h are the roots of the equation x^2+q x+r=0 , then h is equal to

Options

  1. Ab+q
  2. Bb-q
  3. C1 2 (b+q)
  4. D1 2 (b-q)

Correct answer

D. 1 2 (b-q)

Step-by-step solution

Given that and are the roots of the equation array r x^2+b x+c=0 + =-b and =c array Also +h and +h are the roots of the equations We have, x^2+q x+r=0 array rlrl & & +h+ +h & =-q -b+2 h & =-q & h & = (b-q) 2 array

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