The line y-3 meets the graph y-tan x- where x- 0- -2- in k points- What is k equal to-

The correct option is A OneBy solving the equations y=√(3) and y=tan x We get √(3) = tan x⇒ x=π3 ∈(0, π2) The curves intersect at only one point in ...

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Standard XII

Mathematics

Consistency of Linear System of Equations

The line y=...

Question

The line $y = \sqrt{3}$ meets the graph $y = tan x$ , where $x ϵ (0, \frac{π}{2})$ , in k points. What is k equal to?

One

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Two

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Three

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Infinity

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Solution

The correct option is A One
By solving the equations $y = \sqrt{3} a n d y = tan x$
We get $\sqrt{3} = tan x \Rightarrow x = \frac{π}{3} \in (0, \frac{π}{2})$
The curves intersect at only one point in the given range
Hence $K = 1$

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The line y=√3 meets the graph y=tanx, where xϵ(0,π2), in k points. What is k equal to?

The correct option is A OneBy solving the equations y=√3 and y=tanxWe get √3=tanx⇒ x=π3 ∈(0,π2)The curves intersect at only one point in the given range Hence K=1

The line $y = \sqrt{3}$ meets the graph $y = tan x$ , where $x ϵ (0, \frac{π}{2})$ , in k points. What is k equal to?

The correct option is A One
By solving the equations $y = \sqrt{3} a n d y = tan x$
We get $\sqrt{3} = tan x \Rightarrow x = \frac{π}{3} \in (0, \frac{π}{2})$
The curves intersect at only one point in the given range
Hence $K = 1$