Grade 11Analytical Geometry
length of portion of the line x=y+2 intersepted by the circle x2+y2=100 is
length of portion of the line x=y+2 intersepted by the circle x2+y2=100 is
2 Answers
Vikas TU
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
Approved Tutor Answer9 Years agoThe 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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