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Most Important Selected Qs for JEE AdvancedMathematicsQuadratic Equation

If eqautions (a+2) x^2+b x+c=0 and 2 x^2+3 x+4=0 have a common root where a, b, c N then -

Options

  1. Ab^2-4 a c 0
  2. Bminimum value of a + b + c is 16
  3. Cb^2 4 a c+8 c
  4. Dminimum value of a + b + c =7

Correct answer

C. b^2 4 a c+8 c

Step-by-step solution

(a+2) x^2+b x+c=0 .....(i) 2 x^2+3 x+4=0 ......(ii) for (2) D 0 (i) & (ii) have both roots common. a+2 2 = b 3 = c 4 for equation (1) D 0 aligned & b^2-4 c(a+2) 0 & b^2 4 a c+8 c & a+2 2 = b 3 = c 4 =k( say ) k N, k 2 & a+b+c+2 9 =k & a+b+c=9 k-2 & (a+b+c)_ =16 aligned

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