Question

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) are
Y = – 0.1742 X + 6.09 and Y = 2 X – 8.7569​

Answer 1

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

5

∴ Equation of tangent is 2x+y+3

5

=0

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