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The equation of the chord of the circle x^2+y^2-3x-4y-4=0 ,which passes through the origin such that the origin divides into ratio 4:1,is....

Asked by varshilprajapati 12th August 2018, 6:19 AM
Answered by Expert
Answer:
Equation of the line passing through origin is y = mx
x+ y- 3x - 4y - 4 = 0
x+ m2 x- 3x - 4mx - 4 = 0
Let x1 and x2 be the roots of the equation.
begin mathsize 16px style straight x subscript 1 plus straight x subscript 2 equals fraction numerator 3 plus 4 straight m over denominator 1 plus straight m squared end fraction space and space straight x subscript 1 straight x subscript 2 equals fraction numerator negative 4 over denominator 1 plus straight m squared end fraction
rightwards double arrow straight x subscript 2 equals negative 4 straight x subscript 1
Find space straight x subscript 1 space and space straight x subscript 2 space
you space will space get space straight y space equals space 0 space or space straight y space plus thin space 24 straight x equals 0 end style
 
Answered by Expert 13th August 2018, 12:46 PM
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