Question

Find the equation of the tangent to the circle X^2+Y^2=16 with slope -2.

Answer 1

Answer:

As per the general formula, equation of a tanget of a circle with radius r and center origin with slope m is y=mx+r×√(1+m^2)

Radius of the circle is 4(as per the equation given)

So y=(-2)x+4×√(1+(-2)^2)

so y=-2x+4√5