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TS EAMCET · Maths · Pair of Lines

The transformed equation of the curve 2x2+y2-3x+5y-8=0 when the origin is translated to the point (-1, 2) is

  1. A 2x2+y2-7x+9y+11=0
  2. B 2x2+y2+7x+9y+11=0
  3. C 2x2+y2-x+y+11=0
  4. D 2x2+y2+7x-9y+11=0
Verified Solution

Answer & Solution

Correct Answer

(A) 2x2+y2-7x+9y+11=0

Step-by-step Solution

Detailed explanation

It is given that the origin is translated from 0,0 to -1,2 then we can say that x,y→X,Y We know, x=X+h,y=Y+k ⇒x=X-1,y=Y+2 2x2+y2-3x+5y-8=0 2X-12+Y+22-3X-1+5Y+2-8=0 2X2+1-2X+Y2+4+4Y-3X+3+5Y+2=0 2X2+2-4X+Y2+4+4Y-3X+3+5Y+2=0 2X2-7X+Y2+9Y+11=0 For obtaining the…