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The equation of a line that is tangent to a circle whose equation is x^2+y^2 = 36 and passing through the point (12, 4) areY = – 0.1742 X + 6.09 and Y = 2 X – 8.7569 |
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Answer» Answer: Equation of CIRCLE is x 2 +y 2 =9 equation of TANGENT parallel to 2x+y−3=0 is 2x+y+λ=0 its DISTANCE from centre = radius of the circle. radius of circle =3 units. ∴ 4+1
∣2×0+0+λ∣
=3 ⇒λ=3
∴ Equation of tangent is 2x+y+3 5
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