Find the equation of the plane through the line of intersection of the planes `x + y + z = 1` an...
747 views · Published 20 July 2018 · 4:46 · Indexed 26 September 2026
Channel: Doubtnut · 2018 · Education
Question From - NCERT Maths Class 12 Chapter 11 EXERCISE 11.3 Question – 11 THREE DIMENSIONAL GEOMETRY CBSE, RBSE, UP, MP, BIHAR BOARD QUESTION TEXT:- Find the equation of the plane through the line of intersection of the planes `x + y + z = 1` and `2x + 3y + 4z = 5` which is perpendicular to the plane`x y + z = 0` . Doubtnut के साथ १००% मार्क्स पायें, आज ही डाउनलोड करें :- https://doubtnut.app.link/91GzfmKxjP Related Questions & Solutions: 1. In each of the following cases, determine the direction cosines of the normal to the plane and the distance from the origin. (a) `z = 2` (b) `x + y + z = 1` (c) `2x + 3y z = 5` (d) `5y + 8 = 0`... https://youtu.be/YL3axDv23Sw 2. Find the vector equation of a plane which is at a distance of 7 units from the origin and normal to the vector `3 hat i+5 hat j-6 hat k` .... https://youtu.be/He_LihYIFU8 3. Find the Cartesian equation of the following planes: (a) ` - gt rdot( hat i+ hat j- hat k)=2` (b) ` - gt rdot(2 hat i+3 hat j-4 hat k)=1` (c) ` - gt rdot[(s-2t) hat i+(3-t) hat j+(2s+t) hat k]=15`... https://youtu.be/51vtmvINvh4 4. In the following cases, find the coordinates of the foot of the perpendicular drawn from the origin. (a) `2x + 3y + 4z 12 = 0` (b) `3y + 4z 6 = 0` (c) `x + y + z = 1` (d) `5y + 8 = 0`... https://youtu.be/PTMVJbCE-ig 5. Find the vector and cartesian equations of the planes (a) that passes through the point `(1, 0, 2)` and the normal to the plane is ` hat i+ hat j- hat k` (b) that passes through the point (1,4, 6) and... https://youtu.be/-lTRLnCD6lY Get Classwise & Chapterwise Definitions & Solutions from NCERT Book: • NCERT Solutions for class 6th to class 12th Maths - https://doubtnut.com/ncert-solutions • NCERT Solutions for Class 12 - https://doubtnut.com/ncert-solutions/class-12-maths-1 • NCERT Solutions for Class 12, Chapter 11 - https://doubtnut.com/ncert-solutions/class-12-maths-chapter-11-three-dimensional-geometry-1 Score 100% With Doubtnut Prepare your class 12 subjects with our intuitive video solutions and score well in your final academic exam 2019-20. Students can click the doubt question from their text book of class 12 maths, physics, chemistry, biology, and find instant video solutions on our renowned doubt solving app or even on our website. The video tutorials are helpful in preparation for the entrance exams like IIT JEE Main and Advanced, and NEET exam. Students can resolve their doubts with self-explanatory video solutions of questions from popular books of Math, Physics, Chemistry, Biology are solved for easy and swift learning. Student can prepare for IIT JEE at https://doubtnut.com/iit-solutions. Student can prepare for NEET at https://doubtnut.com/exams/neet Subscribe our channel for latest and trending videos on various topics from subjects like – Maths, Physics, Chemistry, Biology etc for Board & higher studies. Doubtnut ऍप पर आप कक्षा ६ से १२ (IIT JEE तक) के NCERT के गणित/ भौतिक विज्ञान/रसायन विज्ञान/जीव विज्ञान/ के सभी सवालों के वीडियो देखिये और मुफ्त में खोजिये किसी भी गणित सवाल का जवाब - 5 लाख से भी ज़्यादा सवालों के जवाब हैं Doubtnut ऍप पर Doubtnut App and website has video solutions of ALL the NCERT questions from Class 6 to 12. You can download the NCERT solutions in pdf format too. Doubtnut app provides free online video solutions that help students to better understand each topic and retain what they have learnt for a longer duration. It further helps in creating a stronger foundation for future classes. You can also ask any question related to Math, Physics, Chemistry, Biology and get a video solution for FREE from a library of more than 5 Lakhs Videos Follow Us On Facebook https://www.facebook.com/doubtnut
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