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Test the Polar Equation for Symmetry with Respect to the Polar

question 96

Multiple Choice

Test the polar equation for symmetry with respect to the polar axis, the pole, and the line θ=π/2\theta = \pi / 2 . r2=cos2θr^ { 2 } = \cos 2 \theta
I  symmetric about the polar axis \text { symmetric about the polar axis }
II  symmetric about the pole \text { symmetric about the pole }
III  symmetric about the line θ=π/2\text { symmetric about the line } \theta = \pi / 2


Definitions:

Hip

A body region where the thigh bone (femur) joins with the pelvis, forming a ball-and-socket joint that allows for movement in several directions.

Metacarpophalangeal Joints

Joints located between the metacarpal bones of the hand and the proximal phalanges of the fingers, facilitating hand movement.

Condylar

Relates to a rounded knob-like projection on a bone, often involved in joints and articulation.

Diarthrotic Joint

A type of joint that allows for free movement in various directions, characterized by the presence of a synovial cavity, such as the knee or elbow.

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