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AP EAMCET201922 Apr 2019Morning ShiftMathematicsStraight LinesActual

If ( ( ^2, +1 ), Z ) belongs to the region between the lines (x+2 y-5=0 ) and (3 x-y+1=0 ) which includes the origin, then the possible number of such points is

Options

  1. A4
  2. B3
  3. C2
  4. DInfinite

Correct answer

C. 2

Step-by-step solution

Given equation of lines are ( aligned & x+2 y-5=0 (i) & and 3 x-y+1=0 (ii) aligned ) from Eq. (i), origin (O ) and (P ) are on the same side. ( array lll & (-5) ( ^2+2 -3 ) > 0 & ^2+2 -3 0 ) ( (- , 0) ( 1 3 , ) ) ( = -2,-1 ) Hence, there are 2 points.

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