straight line x+2y=1 cuts coordinate axes at points A &B. A circle passes through points A, B origin. Then sum of the length of the perpendicular drawn from A&B on tangent at origin of given circle is?
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• According to given question :
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MisterIncredible:
Awesome as always
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Step-by-step explanation:
- Rewrite equation of straight line as :
- which gives the points of intersection on axis as :
Now, equation of circle passing through points a, b and passing through origin is given as :
• Normal to the circle at origin ( line joining origin to centre ) is given by :
Hence, the tangent is given by :
And so, sum of length of perpendicular drawn from A, B to given tangent is :
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