Question

Tan-1 (x/y) - tan-1 x-y/x+y का मान है:(A)π/2 है (B) π/3 है (C) π/4 है (D) -3π/4 है

Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation:

$tan^{-1}(\dfrac{x}{y} )-tan^{-1}(\dfrac{x-y}{x+y} )\\\\\\=tan^{-1}(\dfrac{x}{y} )-tan^{-1}(\dfrac{\dfrac{x}{y}-1 }{\dfrac{x}{y} +1} )\\\\\\=tan^{-1}(\dfrac{x}{y} )-\{tan^{-1}\dfrac{x}{y} -tan^{-1}1\}\\\\\\=tan^{-1}(\dfrac{x}{y} )-tan^{-1}(\dfrac{x}{y} )+tan^{-1}1\\\\\\=tan^{-1}1\\\\\\=\dfrac{\pi}{4}$

∴ (C) सही उत्तर है।