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NDA 2 2025 Maths, question 57

Topic: Analytical geometry

Q57

For different values of mm, the equation 4y=mx−m+24y=mx-m+2 represents

  1. (a) parallel lines
  2. (b) concurrent linesCorrect answer
  3. (c) lines at a fixed distance from the origin of coordinates
  4. (d) the same line

Solution.

Answer: (b) concurrent lines

  1. Rewrite as 4y−2=m(x−1).
  2. Every line passes through x=1,y=1/2 regardless of m, so the family is concurrent.