Question

A and B are two fixed points. the locus of P such that in ∆PAB,sinB/sinAis a constant ​

Answer 1

Answer:

Let A(x

1

,y

1

) and B(x

2

,y

2

) be two fixed points and P(h,k) be a variable point such that

∠APB=

2

π

Then, slope of AP× slope of BP=−1

⇒

h−x

1

k−y

1

×

h−x

2

k−y

2

=−1

⇒(h−x

1

)(h−x

2

)+(k−y

1

)(k−y

2

)=0

Hence, locus of (h,k) is

(x−x

1

)(x−x

2

)+(y−y

1

)(y−y

2

)=0

which is a circle having AB as diameter.

Answer 2

Answer:

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Step-by-step explanation:

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