Duration: 3:22

7 views

0

Consider the family of planes \( x+y+z=c \) where \( c \) is a parameter intersecting the coordinate axes at \( P . Q \) and \( r \)
\( \mathrm{P} \) and \( \alpha \beta \) and \( \gamma \) are the angles made by each memt \( \beta r \)

W this familv with positive \( x, y \) and \( z \)-axps. Whicl: of the folluwii:g iuteriretations hold good for this faurily?
(a) Each member of this family is equally inclined with coordinate axes.
(b) \( \sin ^{2} \alpha+\sin ^{2} \beta+\sin ^{2} \gamma=1 \)
(c) \( \cos ^{2} \alpha+\cos ^{2} \beta+\cos ^{2} \gamma=2 \)
(d) For \( c=3 \) area of the \( \triangle P Q R \) is \( 3 \sqrt{3} \) sq units.
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live