P(3,4) and Q(-3, -4) are two points in a plane. Find the gradient of the...
FURTHER MATHEMATICS
WAEC 2020
P(3,4) and Q(-3, -4) are two points in a plane. Find the gradient of the line that is normal to the line PQ.
- A. \(\frac{4}{3}\)
- B. \(\frac{3}{4}\)
- C. \(\frac{-3}{4}\)
- D. \(\frac{-4}{3}\)
Correct Answer: B. \(\frac{3}{4}\)
Explanation
Gradient = \(\frac{-4 - 4}{-3 - 3}\)
= \(\frac{-8}{6}\)
= \(\frac{4}{3}\)
Normal = -(\(\frac{1}{\frac{1}{4}}\))
= \(\frac{-3}{4}\)
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