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प्रश्न
Find the distance between the following point :
(sec θ , tan θ) and (- tan θ , sec θ)
उत्तर
A (sec θ , tan θ) , B (- tan θ , sec θ)
AB = `sqrt ((- "tan" theta - "sec" theta)^2 + ("sec" theta - "tan" theta))`
`= sqrt ("tan"^2 theta + "sec"^2 theta + 2 "tan" theta "sec" theta + "sec"^2 theta + "tan"^2 theta - 2 "tan" theta . "sec" theta)`
`= sqrt (2 "sec"^2 theta + 2 "tan"^2 theta)` units
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