Find the value of P if the line joining (P, 4) and (6, -2...
Find the value of P if the line joining (P, 4) and (6, -2) is perpendicular to the line joining (2, P) and (-1, 3).
4
6
3
0
Correct answer is A
The line joining (P, 4) and (6, -2).
Gradient: −2−46−P=−66−P
The line joining (2, P) and (-1, 3)
Gradient: 3−P−1−2=3−P−3
For perpendicular lines, the product of their gradient = -1.
(−66−P)(3−P−3)=−1
6−2P6−P=−1⟹6−2P=P−6
6+6=P+2P⟹P=123=4
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