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NDA 2 2025 Maths, question 60

Topic: Analytical geometry

Q60

What is the sum of the intercepts of the line

xa2+yb2=2a2+b2\frac{x}{a^{2}}+\frac{y}{b^{2}}=\frac{2}{a^{2}+b^{2}}

on the coordinate axes?

  1. (a) 22Correct answer
  2. (b) 11
  3. (c) 12\frac{1}{2}
  4. (d) a2+b2a^{2}+b^{2}

Solution.

Answer: (a) 22

  1. Set y=0 to get the x-intercept 2a²/(a²+b²), and x=0 to get 2b²/(a²+b²).
  2. Their sum is 2, assuming the given denominators are defined.