Q. 3 B5.0( 1 Vote )

# Show that the fol

Given:

Curves x2 = y ...(1)

& x3 + 6y = 7 ...(2)

The point of intersection of two curves (1,1)

Solving (1) & (2),we get,

First curve is x2 = y

Differentiating above w.r.t x,

2x  m1 = 2x ...(3)

Second curve is x3 + 6y = 7

Differentiating above w.r.t x,

3x2 + 6. = 0  m2 ...(4)

Substituting (1,1) for m1 & m2,we get,

m1 = 2x

2×1

m1 = 2 ...(5)

m2  m2 = ...(6)

when m1 = 2 & m2 =   1

Two curves x2 = y & x3 + 6y = 7 intersect orthogonally.

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