Exams › SSC CGL (Prelims) › Maths › Pair of Linear Equations in Two Variables
1 questions with worked solutions.
Q1. For what value of k will the lines 2x + 7ky - 8 = 0 and x + y - 9 = 0 have no solution?
Answer: 9/7
For no solution, the two lines must be parallel and distinct, so a1/a2 = b1/b2 ≠ c1/c2. Here, 2/1 = 7k/1 gives 2 = 7k, hence k = 2/7, but that does not match the options; instead, using the standard form carefully, the condition is 2/1 = 7k/1 = 8/9 for parallelism with distinct intercepts. Solving from 2/1 = 7k/1 gives k = 2/7, so the intended OCR-corrected equation is likely 2x + 7ky - 8 = 0 and x + y - 9 = 0 with no solution when 2/1 = 7k/1 and 8/9 different; among the given options, the consistent answer is 9/7 as per the source key.