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2 votes
1 answer
6
CAT2009-9
The shaded portion of figure shows the graph of which of the following? $x(y-2x) \geq 0$ $x(y-2x) \leq 0$ $x\left(y+\frac{1}{2}x\right) \geq 0$ $x\left(y-\frac{1}{2}x\right) \leq 0$
The shaded portion of figure shows the graph of which of the following?$x(y-2x) \geq 0$$x(y-2x) \leq 0$$x\left(y+\frac{1}{2}x\right) \geq 0$$x\left(y-\frac{1}{2}x\right) ...
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4 votes
1 answer
7
CAT2009-10
If $f\left(x+\frac{y}{8}, x-\frac{y}{8}\right)=xy$, then $f(m, n)+f(n, m)=0$ Only when $m=n$ Only when $m ≠ n$ Only when $m= -n$ For all $m$ and $n$
If $f\left(x+\frac{y}{8}, x-\frac{y}{8}\right)=xy$, then $f(m, n)+f(n, m)=0$Only when $m=n$Only when $m ≠ n$Only when $m= -n$For all $m$ and $n$
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1 votes
1 answer
8
CAT2009-2
If $\log(0.57)=\bar{1}.756$, then the value of $\log57 + \log(0.57)^{3}+\log\sqrt{0.57}$ is: $0.902$ $\bar{2}.146$ $1.902$ $\bar{1}.146$
If $\log(0.57)=\bar{1}.756$, then the value of $\log57 + \log(0.57)^{3}+\log\sqrt{0.57}$ is:$0.902$$\bar{2}.146$$1.902$$\bar{1}.146$
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1 votes
1 answer
10
CAT2009-1
If $mx^{m}-nx^{n}=0$, then what is the value of $\frac{1}{x^{m}+x^{n}}+\frac{1}{x^{m}-x^{n}}$ in terms of $x^{n}$? $\frac{2mn}{x^{n}(n^{2}-m^{2})}$ $\frac{2mn}{x^{n}(n^{2}+m^{2})}$ $\frac{2mn}{x^{n}(m^{2}-n^{2})}$ $\frac{2mn}{x^{n}(m^{2}+n^{2})}$
If $mx^{m}-nx^{n}=0$, then what is the value of $\frac{1}{x^{m}+x^{n}}+\frac{1}{x^{m}-x^{n}}$ in terms of $x^{n}$?$\frac{2mn}{x^{n}(n^{2}-m^{2})}$$\frac{2mn}{x^{n}(n^{2}+...
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