Question

11) Co ordinate point of L is *
1 point
K
L
N
O (6,1)
O (6,5)
O (-1,2)
O (2,1)​

Answer 1

Answer:

Correct option is

C

(3, -3)

Let (x,y) be the coordinate of the point equidistant from (1,−6)(5,−6) and (6,−1)

Now,

Distance between (x,y) and (1,−6) is

d

1

=

(x−1)

2

+(y+6)

2

=>D

1

2

=(x−1)

2

+(y+6)

2

(i)

Distance between (x,y) and (5−6) is

D−2=

(x−5)

2

+(y+6)

2

=>D

2

2

=(x−5)

2

+(y+6)

2

(ii)

Distance between (x,y) and (6,−1) is

D

3

=

(x−6)

2

+(y+1)

2

D

3

2

=(x−6)

2

+(y+1)

2

(iii)

D

1

=D

2

=D

3

Subtracting (Ii) from (i) we get,

=>D

1

2

−D

2

2

=(x−1)

2

+(y+6)

2

−(x−5)

2

−(y−6)

2

=>0=(x−1)

2

−(x−5)

2

=>x

2

−2x+1+(x

2

−10x+25)=0

=>−2x+10x+1−25=0

=>8x=24

=>x=3

Subtracting (iii) from (i) and putting x=3 we get,

=>D

1

2

−D

3

2

=(3−1)

2

+(y+6)

2

−(3−6)

2

−(y+1)

2

=>0=4−9+(y

2

+12y+36)−(y

2

+2y+1)

=>5=y

2

+12y+36−y

2

−2y−1

=>5=10y+35

=>10y=−30

=>y=−3

∴ coordinate is (3,−3)

Step-by-step explanation:

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