The plane containing the two lines x−31=y−24=z−15andx−21=y+3−4=z+15 is 11x + my + nz = 28, where
A
m = –1, n = 3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
m = 1, n = –3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
m = –1, n = –3
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
m = 1, n = 3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is C m = –1, n = –3 Point (3, 2, 1) and (2, –3, –1) lies on 11x + my + nz = 28 ie, 33 + 2m + n = 28 ⇒ 2m + n = – 5 . . .(i) and 22 – 3m – n = 28 ⇒ –3m – n = 6 . . .(ii) From Eqs. (i) and (ii), m = –1, n = –3