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If $A$ be the set of triangles in a plane and $R^{+}$ be the set of all positive real numbers,  then the function $f\::\:A\rightarrow R^{+},$ defined by $f(x)=$ area of triangle  $x,$ is

  1. one-one and into
  2. one-one and onto
  3. many-one and onto
  4. many-one and into
in Set Theory & Algebra
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1 Answer

1 vote

Hence, option$(C)$ is the correct answer.

0

@`JEET how do you know that area of triangles in the plane will cover all the positive real numbers.

i.e Do you have a proof that Range = R+

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