Question 66Asked in BPSC TRE 1.0 (2023) Mathematics Class 9-10

For what value of k, the equations 3(k − 1)x + 4y = 24k के किस मान के लिए समीकरण

For what value of k, the equations 3(k − 1)x + 4y = 24 15x + 20y = 8(k + 13) have infinitely many solutions?
k के किस मान के लिए समीकरण 3(k − 1)x + 4y = 24 15x + 20y = 8(k + 13) अनन्त हल रखते हैं?
  1. A22
  2. B−2−2
  3. C33
  4. DMore than one of the aboveउपर्युक्त में से एक से अधिक
  5. ENone of the aboveउपर्युक्त में से कोई नहीं
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Correct answer: (A) 22

Explanation

For infinitely many solutions 3(k − 1)/15 = 4/20 = 24/(8(k + 13)). The first equality gives k = 2, which also satisfies the second.अनन्त हलों के लिए 3(k − 1)/15 = 4/20 = 24/(8(k + 13))। पहली समता से k = 2, जो दूसरी को भी सन्तुष्ट करता है।

From BPSC TRE 1.0 (2023) Mathematics Class 9-10 — Previous Year Paper

This is question 66 of BPSC TRE 1.0 (2023) Mathematics Class 9-10 — Previous Year Paper. See all questions of this paper with answers, or attempt the paper as a timed online test to get your score and all-India rank.