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  • Find the point of intersection of the lines represented by <img alt="x^{2}-4 x y+2 y^{2}+2x+ 2y-2=0" src="https://entrancecorner.oncodecogs.com/gif.latex?x%5E%7B2%7D-4%20x%20y&plus;2%20y%5E%7B2

Find the point of intersection of the lines represented by x^{2}-4 x y+2 y^{2}+2x+ 2y-2=0

Option: 1

(2,\frac{3}{2})


Option: 2

(2,{2})


Option: 3

(2,{-2})


Option: 4

None of these


Answers (1)

best_answer

x^{2}-4 x y+2 y^{2}+2x+ 2y-2=0

Partial differentiation w.r.t. x

2x - 4y + 2 = 0      ......(i)

Partial differentiation w.r.t. y

-4x + 4y + 2 = 0    ........(ii)

Solving these two equations, we get x = 2, y = 3/2

So point of intersection is (2, 3/2)

 

Alternate Method

We can also use the formula derived in the concept directly to arrive at the same result

Posted by

Kuldeep Maurya

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