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Question

Mathematics Question on Double and triple integrals

Given below are two statements
Statement I: If x=13(2u+v)x=\frac{1}{3}(2u + v) and y=13(uv)y =\frac{1}{3}(u − v), then dxdy=13 dudvdxdy=\frac{-1}{3}\ dudv
Statement II: Area in Polar Co-ordinater θ1θ1r1r2rdθdr\int\limits^{\theta_1}_{\theta_1} \int\limits^{r_2}_{r_1} rd\theta dr
In the light of the above statements, choose the correct answer from the options given below:

A

Both Statement I and Statement II are true

B

Both Statement I and Statement II are false

C

Statement I is true but statement II is false

D

Statement I is false but statement II is true

Answer

Both Statement I and Statement II are false

Explanation

Solution

The correct option is(B):Both Statement I and Statement II are false.