State whether the statements are true -T- or false -F-For every natural number m- -2m - 1- 2m-2 - 2m- 2m-2 - 2m-2 - 1- is a Pythagorean triplet-

Question

Toppr Admin · Accepted Answer

Correct option is B- False-2m- 1-2 -neq -2m-3 - 2m -2 - -2m-2 - 2m - 1-2-Or -2m-3 - 2m-2 -neq -2m - 1-2 - -2m-2 - 2m - 1-2-Or - -2m-2 - 2m - 1-2 -neq -2m -1 -2 - -2m-3 - 2m -2-

State whether the statements are true (T) or false (F).
For every natural number $$m, (2m - 1, 2m^2 - 2m, 2m^2 - 2m^2 + 1)$$ is a Pythagorean triplet.

Correct option is B. False
$$(2m- 1)^2 \neq (2m^3 - 2m )^2 + (2m^2 - 2m + 1)^2$$
Or $$(2m^3 - 2m)^2 \neq (2m - 1)^2 + (2m^2 - 2m + 1)^2$$
Or $$ (2m^2 - 2m + 1)^2 \neq (2m -1 )^2 + (2m^3 - 2m )^2$$

State whether the statements are true (T) or false (F).For every natural number $$m, (2m - 1, 2m^2 - 2m, 2m^2 - 2m^2 + 1)$$ is a Pythagorean triplet.

Correct option is B. False$$(2m- 1)^2 \neq (2m^3 - 2m )^2 + (2m^2 - 2m + 1)^2$$Or $$(2m^3 - 2m)^2 \neq (2m - 1)^2 + (2m^2 - 2m + 1)^2$$Or $$ (2m^2 - 2m + 1)^2 \neq (2m -1 )^2 + (2m^3 - 2m )^2$$

State whether the statements are true (T) or false (F).
For every natural number $$m, (2m - 1, 2m^2 - 2m, 2m^2 - 2m^2 + 1)$$ is a Pythagorean triplet.

Correct option is B. False
$$(2m- 1)^2 \neq (2m^3 - 2m )^2 + (2m^2 - 2m + 1)^2$$
Or $$(2m^3 - 2m)^2 \neq (2m - 1)^2 + (2m^2 - 2m + 1)^2$$
Or $$ (2m^2 - 2m + 1)^2 \neq (2m -1 )^2 + (2m^3 - 2m )^2$$