If the equations 4x + (k − 2)y + 3 = 0 and (k − 2)x + 9y − 5 = 0 (k > 0) are parallel, then find the value of k² + 6.
Question:
If the equations 4x + (k − 2)y + 3 = 0 and (k − 2)x + 9y − 5 = 0 (k > 0) are parallel, then find the value of k² + 6.
If the equations 4x + (k − 2)y + 3 = 0 and (k − 2)x + 9y − 5 = 0 (k > 0) are parallel, then find the value of k² + 6.
Options
Answer: (2) 70
Explanation:
For parallel lines: 4/(k-2) = (k-2)/9. So (k-2)² = 36, k-2 = 6, k = 8. Therefore k² + 6 = 64 + 6 = 70.
Explanation:
For parallel lines: 4/(k-2) = (k-2)/9. So (k-2)² = 36, k-2 = 6, k = 8. Therefore k² + 6 = 64 + 6 = 70.
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