Question

If the point P (2, 2) is equidistant from the points A (-2, k) and B (-2k, -3), find the value of K.​

Answer 1

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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