Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • If the equation of a Plane P, passing through the intersection of the planes, and

If the equation of a Plane P, passing through the intersection of the planes, x -4y -z+7=0and 3x +y+5z=8 is ax +by +6z=15 for some a, b\epsilon R, then the distance of the point (3,2-1) from the plane P is________
Option: 1 6
Option: 2 9
Option: 3 3
Option: 4 12

Answers (1)

best_answer

\begin{aligned} &\mathrm{D}_{1}=\left|\begin{array}{ccc} -7 & 4 & -1 \\ 8 & 1 & 5 \\ 15 & \mathrm{~b} & 6 \end{array}\right|=0 \Rightarrow \mathrm{b}=-3\\ &\mathrm{D}=\left|\begin{array}{ccc} 1 & 4 & -1 \\ 3 & 1 & 5 \\ \mathrm{a} & \mathrm{b} & 6 \end{array}\right|=0 \Rightarrow 21 \mathrm{a}-8 \mathrm{~b}-66=0\\ &P: 2 x-3 y+6 z=15\\ &\text { so required distance }=\frac{21}{7}=3 \end{aligned}

Posted by

himanshu.meshram

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Advanced 2024: Chemical engineering cut-offs at IITs; know opening, closing ranks
anam-khan

IIT JEE Mains Result 2024 Session 2: How is overall merit list prepared?
anam-khan

JEE Mains Session 2 result 2024 soon; List of top NITs in India

Latest Question