If the point P (2, 2) is equidistant from the points A (-2, k) and B (-2k, -3), find the value of K.
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Answer:
k= -1 or -3
Step-by-step explanation:
Distance AP= Distance BP
By distance formula,
√(2+2)²+(2-k)² = √(2+2k)²+(2+3)²
square on both sides,
4²+2²+k²-4k = 2²+4k²+8k+5²
16+4+k²-4k = 4+4k²+8k+25
4k²-k²+8k+4k+25-16+4-4 - 0
3k²+12k+9 = 0
divide the equation by 3
k²+4k+3 = 0
(k+1)(k+3) = 0
k= -1 or k= -3
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