Question
Download Solution PDFIf the two planes 3x - 2y + 4z +1 = 0 and -6x + qy + rz + 8 = 0 are parallel then q and r respectively
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Condition of parallel plane:
If plane a1x + b1y + c1z + d1 = 0 and a2x + b2y + c2z + d2 = 0 are a parallel i.e. \(\rm \frac{{{a_1}}}{{{a_2}}} = \frac{{{b_1}}}{{{b_2}}} = \frac{{{c_1}}}{{{c_2}}} \ne \frac{{{d_1}}}{{{d_2}}}\)
Calculation:
Given two planes are 3x - 2y + 4z +1 = 0 and -6x + qy + rz + 8 = 0
For the parallel planes;
\(\rm {3\over -6}={-2\over q}={4\over r}\)
Taking the first two ratios,
\(\rm {3\over -6}={-2\over q}\)
q = 4
Taking first and last ratios,
\(\rm {3\over -6}={4\over r}\)
r = -8
Last updated on May 31, 2025
-> The Indian Navy SSR Agniveeer Merit List will be released soon on the official website.
-> The Indian Navy Agniveer SSR CBT Exam was conducted from 25th to 26th May 2025.
->The application window was open from 29th March 2025 to 16th April 2025.
-> The Indian Navy SSR Agniveer Application Link is active on the official website of the Indian Navy.
.->Only unmarried males and females can apply for Indian Navy SSR Recruitment 2025.
-> The selection process includes a Computer Based Test, Written Exam, Physical Fitness Test (PFT), and Medical Examination.
->Candidates Qualified in 10+2 with Mathematics & Physics from a recognized Board with a minimum 50% marks in aggregate can apply for the vacancy.
-> With a salary of Rs. 30,000, it is a golden opportunity for defence job seekers.
-> Candidates must go through the Indian Navy SSR Agniveer Previous Year Papers and Agniveer Navy SSR mock tests to practice a variety of questions for the exam.