If a right angled triganle XYZ right angled at Y. If XY=`2sqrt6` and XZ-YZ=2 then secX+tanX is (एक समकोण त्रिभुज XYZ में समकोण है यदि और XY=`2sqrt6` है तो secX+tanX का मान ज्ञात करे )

Options

A. `(1)/(sqrt6)`
B. `sqrt6`
C. `2sqrt6`
D. `(sqrt6)/(2)`

Answer

b

Explanation

`XZ-YZ=2`
` hp-p=2` .......(i)
`h^(2)=(2sqrt (6))^(2)+p^(2)`
`h^(2)-p^(2)=(2sqrt(6))^(2)`
`(h-p)(h+p)=4xx6`
`(2)(h+p)=4xx 6`
`h+p=12` ........(ii)
Adding eq (i) `&` (ii)
`2h=14`
`h=7,p=5`
` secX+tanX`
` =(h)/(xy)+(p)/(xy)=(7)/(2sqrt(6))+(5)/(2sqrt(6))=(12)/(2sqrt(6))=(6)/sqrt(6)=sqrt(6)`