Single correct option
What is the area of the triangle formed by the lines y = x, y = −x and y = 6?
- A. 36
- B. 72
- C. 18
- D. 24
Show answer and solution
Answer: (A) 36
The lines y = x and y = −x meet at the origin (0, 0).
y = 6 meets y = x at (6, 6) and y = −x at (−6, 6).
The triangle has base from (−6, 6) to (6, 6), of length 12, and height 6 (distance from the origin to y = 6).
Area = ½ × 12 × 6 = 36 square units.
Tip: Lines y = ±x with y = k always give a triangle of area k².
y = 6 meets y = x at (6, 6) and y = −x at (−6, 6).
The triangle has base from (−6, 6) to (6, 6), of length 12, and height 6 (distance from the origin to y = 6).
Area = ½ × 12 × 6 = 36 square units.
Tip: Lines y = ±x with y = k always give a triangle of area k².
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