SSC_CPO_Similar_10_Dec_2025_S1_Q147

Question:

What will be the value of K for which the system of equations 2x + 2y − 5 = 0 and 6x + ky + 7 = 0 has no solution?

K का वह मान क्या होगा जिसके लिए समीकरण निकाय 2x + 2y − 5 = 0 और 6x + ky + 7 = 0 का कोई हल नहीं है?

Options:

  • a) 2
  • b) 3
  • c) 4
  • d) 6
  • a) 2
  • b) 3
  • c) 4
  • d) 6

correct answer : d)

Explanation:

For no solution, a1/a2 = b1/b2 ≠ c1/c2. So, 2/6 = 2/k => 1/3 = 2/k => k = 6.

कोई हल न होने के लिए, a1/a2 = b1/b2 ≠ c1/c2. इसलिए, 2/6 = 2/k => 1/3 = 2/k => k = 6.

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