Difference between revisions of "1969 AHSME Problems/Problem 21"

(Created page with "== Problem == If the graph of <math>x^2+y^2=m</math> is tangent to that of <math>x+y=\sqrt{2m}</math>, then: <math>\text{(A) m must equal } \tfrac{1}{2}\quad \text{(B) m must e...")
 
(Problem)
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\text{(C) m must equal } \sqrt{2}\quad
 
\text{(C) m must equal } \sqrt{2}\quad
 
\text{(D) m must equal } 2\quad\\
 
\text{(D) m must equal } 2\quad\\
\text{(E) m may be an non-negative real number} </math>
+
\text{(E) m may be any non-negative real number} </math>
  
 
== Solution ==
 
== Solution ==

Revision as of 15:59, 10 July 2015

Problem

If the graph of $x^2+y^2=m$ is tangent to that of $x+y=\sqrt{2m}$, then:

$\text{(A) m must equal } \tfrac{1}{2}\quad \text{(B) m must equal  } \frac{1}{\sqrt{2}}\quad\\ \text{(C) m must equal } \sqrt{2}\quad \text{(D) m must equal } 2\quad\\ \text{(E) m may be any non-negative real number}$

Solution

$\fbox{E}$

See also

1969 AHSC (ProblemsAnswer KeyResources)
Preceded by
Problem 20
Followed by
Problem 22
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35
All AHSME Problems and Solutions

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