All Courses
Get the App Signup / Login
Sign in Open App
JEE Exam  >  JEE Tests  >  Mathematics (Maths) Class 12  >  Test: Intercept Form And Family Of Planes - JEE MCQ

Test: Intercept Form And Family Of Planes - JEE MCQ


Test Description

5 Questions MCQ Test Mathematics (Maths) Class 12 - Test: Intercept Form And Family Of Planes

Test: Intercept Form And Family Of Planes for JEE 2024 is part of Mathematics (Maths) Class 12 preparation. The Test: Intercept Form And Family Of Planes questions and answers have been prepared according to the JEE exam syllabus.The Test: Intercept Form And Family Of Planes MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Intercept Form And Family Of Planes below.
Solutions of Test: Intercept Form And Family Of Planes questions in English are available as part of our Mathematics (Maths) Class 12 for JEE & Test: Intercept Form And Family Of Planes solutions in Hindi for Mathematics (Maths) Class 12 course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt Test: Intercept Form And Family Of Planes | 5 questions in 10 minutes | Mock test for JEE preparation | Free important questions MCQ to study Mathematics (Maths) Class 12 for JEE Exam | Download free PDF with solutions
Test: Intercept Form And Family Of Planes - Question 1
Save

The equation of plane through the intersection of planes (x+y+z =1) and (2x +3y – z+4) =0 is​

Detailed Solution for Test: Intercept Form And Family Of Planes - Question 1

The equation of any plane passing through the line of intersection of two planes

As we have learnt from the concept Equation of plane 

Test: Intercept Form And Family Of Planes - Question 2
Save

The equation of the plane passing through the line of intersection of the planes x-2y+3z+8=0 and 2x-7y+4z-3=0 and the point (3, 1, -2) is:​

Detailed Solution for Test: Intercept Form And Family Of Planes - Question 2

(x - 2y + 3z + 8) + μ(2x - 7y + 4z - 3) = 0
i.e, (1 + 2μ)x - (2 + 7μ)y + (3 + 4μ)z + (8 - 3μ) = 0......(1)
 the required plane is passing through (3, 1, -2)
so, 3(1 + 2μ) - (1)(2 + 7μ) + (-2)(3 + 4μ)+ (8 - 3μ) = 0
3 + 6μ - 2 - 7μ -6 -8μ + 8 - 3μ = 0
by solving, μ = 1/4
putting μ in equation (1)
we get the required equation of plane as :- 6x - 15y + 16z + 29 = 0

1 Crore+ students have signed up on EduRev. Have you? Download the App
Test: Intercept Form And Family Of Planes - Question 3
Save

If  are the equations of two given lines the, what is the condition for coplanarity of the twi lines in the vector form.

Test: Intercept Form And Family Of Planes - Question 4
Save

The equation of the plane which makes the intercepts 3, 4, 12 with X-axis, Y-axis and Z-axis respectively is:​
Test: Intercept Form And Family Of Planes - Question 5
Save

The equation of the plane passing through the intersection of the planes  and and the point (1, 2, 1) is:​
Detailed Solution for Test: Intercept Form And Family Of Planes - Question 5

n1 = 2i + j + k
n2 = 2i + 3j - 4k
p1 = 4,   p2 = -6
r.(n1 + λn2) = p1 + λp2
=> r . [2i + j + k + λ(2i + 3j - 4k)] = 4 - 6λ
=> r . [ i(2 + 2λ) + j(1 + 3λ) + k(1 - 4k)] = 4 - 6λ
Taking r = xi + yj + zk
(2 + 2λ)x + (1 + 3λ)y + (1 - 4k)z = 4 - 6λ
(2x + y + - z - 4) + λ(2x + 3y - 4k + 6) = 0
Given points are (1,2,1) 
(2 + 2 - 1 - 4) + λ(2 + 6 - 4 + 6) = 0
-1 + λ(10) = 0
 λ = 1/10
Substitute  λ = 1/10, we get
18x + 7y + 14z - 46=0

204 videos|290 docs|139 tests
Join Course
Information about Test: Intercept Form And Family Of Planes Page
In this test you can find the Exam questions for Test: Intercept Form And Family Of Planes solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Intercept Form And Family Of Planes, EduRev gives you an ample number of Online tests for practice

Top Courses for JEE

204 videos|290 docs|139 tests
Join Course
Download as PDF

Top Courses for JEE

Important Questions for Intercept Form And Family Of Planes

Find all the important questions for Intercept Form And Family Of Planes at EduRev.Get fully prepared for Intercept Form And Family Of Planes with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the Intercept Form And Family Of Planes syllabus. Whether you need to review specific subjects or assess your overall readiness, EduRev has you covered. The questions are designed to challenge you and help you gain confidence in tackling the actual exam. Maximize your chances of success by utilizing EduRev's extensive collection of Intercept Form And Family Of Planes resources.

Intercept Form And Family Of Planes MCQs with Answers

Prepare for the Intercept Form And Family Of Planes within the JEE exam with comprehensive MCQs and answers at EduRev. Our platform offers a wide range of practice papers, question papers, and mock tests to familiarize you with the exam pattern and syllabus. Access the best books, study materials, and notes curated by toppers to enhance your preparation. Stay updated with the exam date and receive expert preparation tips and paper analysis. Visit EduRev's official website today and access a wealth of videos and coaching resources to excel in your exam.

Online Tests for Intercept Form And Family Of Planes Mathematics (Maths) Class 12

Practice with a wide array of question papers that follow the exam pattern and syllabus. Our platform offers a user-friendly interface, allowing you to track your progress and identify areas for improvement. Access detailed solutions and explanations for each test to enhance your understanding of concepts. With EduRev's Online Tests, you can build confidence, boost your performance, and ace Intercept Form And Family Of Planes with ease. Join thousands of successful students who have benefited from our trusted online resources.
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup