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AP EAMCET202316 May 2023Morning ShiftMathematicsStraight LinesActual

The equation of the line passing through the points ( ct ₁, c t ₁ ) and ( ct ₂, c t ₂ ) is

Options

  1. Ax+t₁ t₂ y=c (t₁+t₂ )
  2. By+t₁ t₂ x=c (t₁+t₂ )
  3. Cx-t₁ t₂ y=c (t₁+t₂ )
  4. Dy-t₁ t₂ x=c (t₁+t₂ )

Correct answer

A. x+t₁ t₂ y=c (t₁+t₂ )

Step-by-step solution

The equation of line passing through (c t₁, c t₁ ) and (c t₂, c t₂ ) is aligned & (y- c t₁ )= c t₂ - c t₁ c t₂-c t₁ (x-c t₁ ) & (y- c t₁ )=- 1 t₁ t₂ (x-c t₁ ) & t₁ t₂ y-t₂ c=-x+c t₁ & x+t₁ t₂ y=c (t₁+t₂ ) aligned

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