length of portion of the line x=y+2 intersepted by the circle x2+y2=100 is
Roohinaya Tomar , 8 Years ago
Grade 11
Analytical Geometry> length of portion of the line x=y+2 inter...
2 AnswersVikas TU
Last Activity: 8 Years ago
Just solve the x=y+2 with circle eqn by sy=ubstituting the x value.
and find the x and y coordinates.
then use distnace formulae for calculating the distance..
Ajay
Last Activity: 8 Years ago
The circle has center at O(0, 0) and radius as 10
Ley the the intercept which line cuts the circle be AB and M be mid point of AB
then clearly OM = distance of line x=y+2 from O(0,0) = sqrt(2)
OB = radius = 10
Since Traingle OMB is right angled MB2 = OB2 - OM2 = 100-2 = 98
Required length = AB= 2MB = 2sqrt(98)
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