TS EAMCET 11-Sep-2020 Shift 2 Solved Paper

Given, vector equation of plane
Let r=x

∧

i

+y

∧

j

+z

∧

k

...(ii)
∴ Compare Eqs. (i) and (ii),
2+3λ−µ=x ....(iii)
1−2λ+3µ=y.....(iv)
−2+2λ+µ=z...(v)
Now, Eqs. [(iii) +(v)]⇒5λ=x+z
⇒λ=‌

1

5

(n+z)....(vi)
Eqs. [(iv) +(v)]⇒−1+4µ=y+z
⇒µ=‌

1

4

(y+z+1)....(vii)
Putting value of λ and µ in Eq. (iii)
⇒‌‌−8x−5y+7z+35=0
⇒‌‌8x+5y−7z−35=0