రెండు బిందువులు (5, 4) మరియు (-3, k) లను కలిపే రేఖ kx - y + 11 = 0 రేఖకు సమాంతరంగా ఉంటే, అప్పుడు ‘k’ విలువ ఏమిటి? 

  1. 4/9
  2. 5/7
  3. 2/3
  4. 7/11

Answer (Detailed Solution Below)

Option 1 : 4/9
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Detailed Solution

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రెండు బిందువులను కలిపే రేఖ సమీకరణం:

\(\left( {y - 4} \right) = \frac{{\left( {k - 4} \right)}}{{ - 3 - 5}} \times \left( {x - 5} \right)\)

పై రేఖ యొక్క వాలు = \(m1 = \frac{{4 - k}}{8}\)

మరొక రేఖ:

kx – y + 11 = 0

y = kx + 11

పై రేఖ యొక్క వాలు = k

రెండు రేఖలు సమాంతరంగా ఉన్నాయి:

m1 = m2

(4 – k)/8 = k

4 – k = 8k

4 = 9k

k = 4/9

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