if the axes are rotated through an angle a , then the new form of the equation xcosa+ysina =p is
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By rotation of axes,
x=x
1
cosα−y
1
sinα
y=x
1
sinα+y
1
cosα
xcosα+ysinα=P..........(given)
⇒x
1
(cos
2
α+sin
2
α)+y(sinαcosα−cosαsinα)=P..............(substitute the values of x and y)
x
1
=P => X=P.
Step-by-step explanation:
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