Question

15.
value
of
Find the minimum
f(x,y)= x² + 5y² - 6x +10y +12​

Answer 1

Let take (x

1

,y

1

) be the point on the curve y=x

2

−4 (1)

Another point is (0,0)

Distance =

(x

1

−0)

2

+(y

1

−0)

2

(2)

(Distance)

2

=(x

1

)

2

+(y

1

)

2

Using (1)

(Distance)

2

=y+4+y

2

Differentiate it to give 2y+1=0

y=

2

−1

From (1)

2

−1

+4=x

2

x=±

2

7

Since x and y co -ordinates are given.

MInimum Distance =

=

2

1

5

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Answer 2

Answer:

Step-by-step explanation: