Question

The new equation of line x + 2y + 1 = 0, if coordinate axes are
rotated by π/4 In counter clockwise sense, becomes
​

Answer 1

Step-by-step explanation:

[-8/12]×[14/8]

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Answer 2

Answer:

3x + y + √2 = 0

Step-by-step explanation:

Refer the image for complete explanation.

Another quicker method that can be used is:

X Y

x cos a sin a

y -sin a cos a

$\frac{x}{ \sqrt{2} } - \frac{y}{ \sqrt{2} } + 2( \frac{x}{ \sqrt{2} } + \frac{y}{ \sqrt{2} } ) + 1 = 0$

So, 3x + y + √2 = 0