∠Y is the right angle of the trianlge XYZ. If XY =

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∠Y is the right angle of the trianlge XYZ. If XY = 2 √6 cm and XZ – YZ = 2cm, then the value of (secX + tanX) is :

XY = 2 6 cm
XY – YZ = 2 cm. ...(i)
∴ XZ² = XY² + YZ²
⇒ XZ² - YZ² = (2√6)²
⇒ XZ² - YZ² = 24

∴	XZ² - YZ²	=	24
	XZ - YZ		2

⇒ XZ + YZ = 12 ....(ii)

⇒ secX + tan X =	XZ	+	YZ
	XY		XY

⇒ secX + tan X =	XZ + YZ	=
	XY

⇒ secX + tan X =	XZ + YZ	=	12	= √6
	XY		2√6