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please help find the equations of the tangents to these circles at the points given x^2 + y^2 +2x + 4y  12 = 0 (3, 1)
 one year ago
 one year ago
please help find the equations of the tangents to these circles at the points given x^2 + y^2 +2x + 4y  12 = 0 (3, 1)
 one year ago
 one year ago

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campbell_stBest ResponseYou've already chosen the best response.0
the circle will have a tangent at x = 3 which is in the top half of the circle as the centre is (1, 2) you need to get the equation of the circle with y as the subject (x + 1)^2 + (y + 2)^2 = 12  1  4 or (x +1)^2 + (y + 2)^2 = 7 (y + 2)^2 = 7  (x + 1)^2 \[y + 2 = \pm \sqrt{7  (x + 1)^2}\] so \[y = \pm \sqrt{7  (x + 1)^2}  2\] so you need to differentiate the which is the upper semicircle \[y = \sqrt{7  (x + 1)^2}  2\] and then substitute the find the slope of the tangent... once you have the slope... then use the point (3, 1) to find the equations... hope it helps.
 one year ago

samnathaBest ResponseYou've already chosen the best response.0
i cam't differentiate as we haven't learnt it yet ?
 one year ago
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