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length of portion of the line x=y+2 intersepted by the circle x 2 +y 2 =100 is
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..
The circle has center at O(0, 0) and radius as 10Ley the the intercept which line cuts the circle be AB and M be mid point of ABthen clearly OM = distance of line x=y+2 from O(0,0) = sqrt(2) OB = radius = 10Since Traingle OMB is right angled MB2 = OB2 - OM2 = 100-2 = 98Required length = AB= 2MB = 2sqrt(98)
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