• recategorized by
530 views
0 0 votes

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

1 Answer

Position:
Show:

Related questions

1 1 vote
1 1 answer
641
641 views
gatecse asked Sep 18, 2019
641 views
Suppose $X$ and $Y$ are finite sets, each with cardinality $n$.. The number of bijective functions from $X$ to $Y$ is$n^{n}$$n\log_{2}n$$n^{2}$$n!$
0 0 votes
0 0 answers
436
436 views
gatecse asked Sep 18, 2019
436 views
Suppose $f_{\alpha}\::\:[0,1]\rightarrow[0,1],\:-1<\alpha<\infty$ is given by$$f_{\alpha}(x)=\dfrac{(\alpha+1)x}{\alpha x+1}.$$Then $f_{\alpha}$ isA bijective (one-one an...
0 0 votes
1 1 answer
577
577 views
gatecse asked Sep 18, 2019
577 views
Let $A,B$ and $C$ be three non empty sets. Consider the two relations given below:$A-(B-C)=(A-B)\cup C$$A-(B\cup C)=(A-B)-C$Both (1) and (2) are correct.(1) is correct bu...
1 1 vote
1 1 answer
637
637 views
gatecse asked Sep 18, 2019
637 views
The domain of the function $\ln(3x^{2}-4x+5)$ isset of positive real numbersset of real numbersset of negative real numbersset of real numbers larger than $5$