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Q.

ABC is an isosceles triangle. If the coordinates of the base are B(1, 3) and C(–2,7). The vertex A can be

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a

(5/6, 6)

b

(-7, 1/6)

c

(1, 6)

d

(–1/2, 5)

answer is D.

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Detailed Solution

detailed_solution_thumbnail

Perpendicular bisector of BC is 6x–8y+43=0,

perpendicular bisector of $B C$ passes through the vertex A

Now verify the options

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ABC is an isosceles triangle. If the coordinates of the base are B(1, 3) and C(–2,7). The vertex A can be