Question

3. If the distance of the point (a, b) from (-3, 0) are 4 each, find a and b.

Answer 1

Answer:

If the distance of the point(a,b ) from(-3,0) as well as(3,0) are 4each,find a and b Get the answers you need, now!

Answer 2

Answer:

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Step-by-step explanation:

X(-3,0)

Y(3,0)

A(a,b)

by sectional formula:

XA = 4 = √[(-3-a)²+(0-b)²]

16 = 9 + a² + 6a + b²

7 = a² + 6a + b² ___ (i)

YA = 4 = √[(3-a)²+(0-b)²]

16 = 9 + a² - 6a + b²

7 = a² - 6a + b² ___ (ii)

from (i) and (ii)

a² + 6a - b² = a² - 6a + b²

6a = - 6a

a = -a

a + a = 0

2a = 0

therefore a = 0

putting a = 0 in (i):

0² + 6*0 + b² = 7

b² = 7

b = ±√7

therefore A is at (0,√7) or (0,-√7)