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Point a (-1,y) and b(5,7) lie …

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Point a (-1,y) and b(5,7) lie on a circle o(2,-3y) .find value of y

Posted by Jay Gandhi 5 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years, 4 months ago

We know, if A and B lies on circle and C is the centre of circle , then line joining of points A and B is intersected by Centre of circle.
e.g., O lies on midpoint of AB. means, we have to use midpoint section formula.

here, A (-1, y) and B(5,7) lies on circle with centre C(2,-3y) .
A--------------C------------------B
now, use midpoint section formula,
[if (x,y) is the midpoint of (x1,y1) and (x2, y2) then, x = (x1 + x2)/2 and y = (y1+y2)/2 ]
so, -3y = (y + 7)/2
=>-6y = y + 7
=> -7y = 7
=> y = -1

1Thank You

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