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The contour on the x-y plane, where the partial derivative of x2 + y2 with respect to y is equal to the partial derivative of 6y + 4x with respect to x is

The contour on the x-y plane, where the partial derivative of x2 + y2 with respect to y is equal to the partial derivative of 6y + 4x with respect to x is Correct Answer y = 2

CONCEPT:

In Partial Differentiation, all variables are considered as a constant except the independent derivative variable i.e If f(x,y,z) is a function, then its partial derivative with respect to x is calculated by keeping y and z as constant.

CALCULATION:

Given x2 + y2 = F (say…)

and 6y + 4x = G (say…)

Differentiating F with respect to y and G with respect to x and then equating them according to the given condition, we get;

2y = 4

So, y = 2.

Hence option 1 is correct 

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