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MHT CET202619 April 2026Morning ShiftMathematicsThree Dimensional GeometryActual

The symmetric form of the equation of the line x = ay + b , z = cy + d is

Options

  1. Ax - a b = y = z - c d
  2. Bx - b a = y - d c = z
  3. Cx = y - a b = z - c d
  4. Dx - b a = y = z - d c

Correct answer

D. x - b a = y = z - d c

Step-by-step solution

Given equations of the line are x = ay + b and z = cy + d . From the first equation, expressing y in terms of x : x - b = ay y = x - b a From the second equation, expressing y in terms of z : z - d = cy y = z - d c Equating the expressions for y , the symmetric form of the line is: x - b a = y = z - d c Answer: x - b a = y = z - d c

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