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Question

Find the value of λ if (3, 4) and (-4, 3) lie on the opposite side of x - y + λ = 0


  1. (1,7)

  2. (-1,7)

  3. (-1,7)

  4. (,1)U(7,)


Solution

The correct option is A

(1,7)


Two points (x1,y1) and (x2,y2) lie on opposite sides of ax + by + c = 0 if

(ax1+by1+c) × (ax2+by2+c) < 0

  (3 - 4 + λ) (-4 - 3 + λ) < 0

(λ - 1) (λ - 7) < 0

 λ (1, 7)

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