Find points on the x-axis, each of which is at a distance of 10 units from the point P(11, -8) with proper steps.
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Answered by
5
Answer:
Let the point on X axis be A(x,0),then,
AP=10
AP^2=10^2,
(x-11)^2+(0-(-8)^2=10^2
x^2-22x+121+64=100
x^2-22x+185-100=0
x^2-22x+85=0
X^2-17x-5x+85=0
x(x-17)-5(x-17)
(x-17)(x-5)
x-17=0
x=17
x-5=0
x=5
hence, the required points are(17,0)and(5,0).
Answered by
1
Answer:
Explanation:
Let the point on X axis be A(x,0),then,
AP=10
AP^2=10^2,
(x-11)^2+(0-(-8)^2=10^2
x^2-22x+121+64=100
x^2-22x+185-100=0
x^2-22x+85=0
X^2-17x-5x+85=0
x(x-17)-5(x-17)
(x-17)(x-5)
x-17=0
x=17
x-5=0
x=5
hence, the required points are(17,0)and(5,0).
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