If a circle x²+y²+4x-7y+12=0 cuts an intercept on y-axis equal to
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Let x = 0 which is the equation of y- axis. We get y^2 - 7y + 12 = 0
=> y^2 - 4y - 3y + 12 = 0
=> y(y - 4) - 3(y -4) = 0
=> (y-4)(y-3) = 0
=> y = 3 or 4.
So the intercept has endpoints (0,3) and (0,4) which makes it 1 unit long.
=> y^2 - 4y - 3y + 12 = 0
=> y(y - 4) - 3(y -4) = 0
=> (y-4)(y-3) = 0
=> y = 3 or 4.
So the intercept has endpoints (0,3) and (0,4) which makes it 1 unit long.
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