Question

When the axis are rotated through an angle 45, find the transformed equation of 3x² + 10xy + 3y²=9

Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation:

Given:

Answer:

Step-by-step explanation:

Given:

The angle =π/4=45°

Original equation=3(x)(x)+10xy+3(y)(y)=9

Then the original equation is

3(x-y/√2)(x-y/√2)+10(x-y/√2)(x+y/√2)

+3(x+y/√2)(x+y/√2)=9

3((x)(x)+3(y)(y)-6xy+10(x)(x)-10(y)(y)+3(x)(x)+3(y)(y)+6xy=18

16(x)(x)-4(y)(y)=18

8(x)(x)-2(y)(y)=9