Q. 27

# Show that the cur

If the two curve touch each other then the tangent at their intersecting point formed a angle of 0.

We have to find the intersecting point of these two curves.

xy = a2 and x2 + y2 = 2a2

x4 – 2a2x2 + a4 = 0

(x2 – a2) = 0

x = +a and -a

At x = a, y = a

At x = -a, y = -a

m1 at (a, a) = -1

m1 at (-a, -a) = -1

m2 at (a, a) = -1

m2 at (-a, -a) = -1

At (a, a)

θ = 0

At (-a, -a)

θ = 0

So, we can say that two curves touch each other because the angle between two tangent at their intersecting point is equal to 0.

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