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Question: The bisectors BD and CF of a triangle ABC have equations y = x and x = 10. If A is (3, 5) then equa...

The bisectors BD and CF of a triangle ABC have equations

y = x and x = 10. If A is (3, 5) then equation of BC is-

A

5y –2x = 11

B

6y –5x = 17

C

6y –x = 13

D

None of these

Answer

6y –x = 13

Explanation

Solution

Clearly reflection of A on y = x and x = 10 should lie on the

line BC

So, (5, 3) and (17, 5) should lies on BC

\ Equation of BC is Ž y – 3 = 53175\frac{5 - 3}{17 - 5} (x –5)

Ž 6y – x = 13