If the line joining the two points (5, 4) and (-3, k) is parallel to the line kx – y + 11 = 0, then what is the value of ‘k’?

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

Answer (Detailed Solution Below)

Option 1 : 4/9
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PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
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Detailed Solution

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Given:

The line joining the two points (5, 4) and (-3, k) is parallel to the line kx – y + 11 = 0

Calculation:

Equation of line joining two points:

Slope of above line = 

Another line:

kx – y + 11 = 0

y = kx + 11

Slope of above line = k

Both the lines are parallel:

m1 = m2

⇒ (4 – k)/8 = k

⇒ 4 – k = 8k

⇒ 4 = 9k

⇒ k = 4/9

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