Answer & Solution
Answer: Option B
Solution:
XZ - YZ = 2
h - P = 2 . . . . . . . (i)
h
2 = (2√6)
2 + P
2
h
2 - P
2 = (2√6)
2
(h - P)(h + P) = 4 × 6
(2)(h + P) = 24
h + P = 12 . . . . . . . (ii)
Adding equation (i) and (ii)
2h = 14
h = 7, P = 5
$$\eqalign{
& \sec {\text{X}} + \tan {\text{X}} \cr
& = \frac{{\text{h}}}{{{\text{XY}}}} + \frac{{\text{P}}}{{{\text{XY}}}} \cr
& = \frac{7}{{2\sqrt 6 }} + \frac{5}{{2\sqrt 6 }} \cr
& = \frac{{12}}{{2\sqrt 6 }} \cr
& = \frac{6}{{\sqrt 6 }} \cr
& = \sqrt 6 \cr} $$
