Question

Ifx- cos + r sin @
= 0 and y-sin 0-rcos @ = 0 then
2),​

Answer 1

Answer:

x

2

+y

2

−z

2

(xsinθ+ycosθ)

2

=z

2

x

2

sin

2

θ+y

2

cos

2

θ+2xysinθcosθ=z

2

...(1)

(xsinθ−ycosθ)

2

=x

2

sin

2

θ+y

2

cos

2

θ−2xysinθcosθ

=x

2

(1−cos

2

θ)+y

2

(1−sin

2

θ)−2xysinθcosθ

=x

2

+y

2

−x

2

cos

2

θ−y

2

sin

2

θ−2xysinθcosθ

=x

2

+y

2

−(x

2

cos

2

θ+y

2

sin

2

θ+2xysinθcosθ)

=x

2

+y

2

−z

2

Step-by-step explanation:

hope it will help you