y=f(x) and x=g(y) are two curves and {\P}(x, y) is a common point of the two curves. If at P , on the curve y=f(x), \frac{d y}{d x}= {\Q}(x) and at the same point P on the curve x=g(y), \frac{d x}{d y}=-Q(x), then [TG EAPCET 10 May 2024 Shift 2]

Correct Answer is : tangent drawn at P to one curve is normal to the other curve at P

the two curves have a common tangent

the angle between two curves is 45^{\circ}

tangent drawn at P to one curve is normal to the other curve at P

the two curves never intersect orthogonally

Application of Derivatives

Section: Mathematics

Question : 6 of 25

Marks: +1, -0

y=f(x) and x=g(y) are two curves and P(x,y) is a common point of the two curves.
If at P , on the curve y=f(x),‌

=Q(x) and at the same point P on the curve x=g(y), ‌

=−Q(x), then

[TG EAPCET 10 May 2024 Shift 2]

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