Carcass wrote:
Line l passes through \((- \sqrt{2}, \sqrt{3} )\) and \(( \sqrt{2}, -\sqrt{3} )\). Line M is perpendicular to line l
Quantity A |
Quantity B |
The slope of l |
The slope of M |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Detailed explanation
Now we know slope of line\(m = \frac{(y2 - y1 )}{(x2 -x1)}\)
Therefore the slope of line\(l= \frac{(y2 - y1 )}{(x2 -x1)}\) [ where y2 = \(-\sqrt{3}\), y1 =\(\sqrt{3}\)and x2 = \(\sqrt{2}\) and x1 =\(-\sqrt{2}\) ]
\(=(-\sqrt{3}-\sqrt{3})/(\sqrt{2}+\sqrt{2})\)
\(= -\sqrt{3}/\sqrt{2}\)
Now slope of line \(M = \sqrt{2}/\sqrt{3}\) (Since the slope M is perpendicular to line l and we know the slope is negative reciprocal)
Hence option B is greater since it is positive value
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