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TS EAMCET · Maths · Indefinite Integration

If x2-3x+2x-4x-32=Ax-4+Bx-3+Cx-32 then A+B+C=

  1. A 1
  2. B 0
  3. C -1
  4. D 5
Verified Solution

Answer & Solution

Correct Answer

(C) -1

Step-by-step Solution

Detailed explanation

Given: x2-3x+2x-4x-32=Ax-4+Bx-3+Cx-32 ⇒x2-3x+2x-4x-32=Ax-32+Bx-3x-4+x-4x-4x-32 ⇒x2-3x+2=Ax2+9-6x+Bx2-7x+12+(Cx-4C) ⇒x2-3x+12=(A+B)x2+(-6A-7B+C)x+9A+12B-4C So, A+B=1   ...1 -6A-7B+C=-3  ...2 9A+12B-4C=2   ...3 On solving,…
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