The angle between the tangents drawn from the origin to the parabola y

1.	The angle between the tangents drawn from the origin to the parabola y^2==4a(x-a) is
Answer» Explanation: LET the equation of the tangent y=mx (SINCE c=0) Putting y=mx in the eqn of PARABOLA m^2x^2=4a(x-a) m^2x^2-4ax+4a^2=0 D=0 (since the tangent cuts the parabola at 1 pt...ROOTS are equal) (4a)^2=4(4a^2)m^2 m=+1 or m=-1 we get the slopes of the 2 tangents as +1 and -1 Product of slopes =-1 Therefore angle between them is 90

The angle between the tangents drawn from the origin to the parabola y^2==4a(x-a) is

Answer»

Explanation:

LET the equation of the tangent y=mx (SINCE c=0)

Putting y=mx in the eqn of PARABOLA

m^2x^2=4a(x-a)

m^2x^2-4ax+4a^2=0

D=0 (since the tangent cuts the parabola at 1 pt...ROOTS are equal)

(4a)^2=4(4a^2)m^2

m=+1 or m=-1

we get the slopes of the 2 tangents as +1 and -1

Product of slopes =-1

Therefore angle between them is 90

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The angle between the tangents drawn from the origin to the parabola y^2==4a(x-a) is

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