A cricket match is organized between two Clubs A and B for which a team from each club is chosen. Remaining players of Club A and Club B are respectively sitting on the plane represented by the equation r. (2i − j + k) = 3 and r . (i + 3j + 2k) = 8, to cheer the team of their own clubs.

A cricket match is organized between - Teachoo.jpg


Based on the above answer the following:

Slide2.JPG

Question 1

The Cartesian equation of the plane on which players of Club A are seated is

(a) 2๐‘ฅ − ๐‘ฆ + ๐‘ง = 3

(b) 2๐‘ฅ − ๐‘ฆ + 2๐‘ง = 3

(c) 2๐‘ฅ − ๐‘ฆ + ๐‘ง = −3

(d) ๐‘ฅ − ๐‘ฆ + ๐‘ง = 3

Slide3.JPG

Question 2

The magnitude of the normal to the plane on which players of club B are seated, is

(a) √15

(b) √14

(c) √17

(d) √20

Slide4.JPG

Question 3

The intercept form of the equation of the plane on which players of Club B are seated is

(a) x/8+y/(8/3)+z/2=1

(b) x/5+y/(8/3)+z/3=1

(c) x/8+y/(8/3)+z/4=1

(d) x/8+y/7+z/2=1

Slide5.JPG

Question 4

Which of the following is a player of Club B?

(a) Player sitting at (1, 2, 1)

(b) Player sitting at (0, 1, 2)

(c) Player sitting at (1, 4, 1)

(d) Player sitting at (1, 1, 2)

Slide6.JPG

Question 5

The distance of the plane, on which players of Club B are seated, from the origin is

(a) 8/√14 units

(b) 6/√14 units

(c) 7/√14 units

(d) 9/√14 units

Slide7.JPG

  1. Chapter 11 Class 12 Three Dimensional Geometry (Term 2)
  2. Serial order wise

Transcript

Question A cricket match is organized between two Clubs A and B for which a team from each club is chosen. Remaining players of Club A and Club B are respectively sitting on the plane represented by the equation ๐‘Ÿ โƒ—. (2๐‘– โƒ— โˆ’ ๐‘— โƒ— + ๐‘˜ โƒ—) = 3 and ๐‘Ÿ โƒ—. (๐‘– โƒ— + 3๐‘— โƒ— + 2๐‘˜ โƒ—) = 8, to cheer the team of their own clubs. Based on the above answer the following:Question 1 The Cartesian equation of the plane on which players of Club A are seated is (a) 2๐‘ฅ โˆ’ ๐‘ฆ + ๐‘ง = 3 (b) 2๐‘ฅ โˆ’ ๐‘ฆ + 2๐‘ง = 3 (c) 2๐‘ฅ โˆ’ ๐‘ฆ + ๐‘ง = โˆ’3 (d) ๐‘ฅ โˆ’ ๐‘ฆ + ๐‘ง = 3(a) 2๐‘ฅ โˆ’ ๐‘ฆ + ๐‘ง = 3 Question 2 The magnitude of the normal to the plane on which players of club B are seated, is (a) โˆš15 (b) โˆš14 (c) โˆš17 (d) โˆš20(b) โˆš14 Question 3 The intercept form of the equation of the plane on which players of Club B are seated is (a) ๐‘ฅ/8+๐‘ฆ/(8/3)+๐‘ง/2=1 (b) ๐‘ฅ/5+๐‘ฆ/(8/3)+๐‘ง/3=1 (c) ๐‘ฅ/8+๐‘ฆ/(8/3)+๐‘ง/4=1 (d) ๐‘ฅ/8+๐‘ฆ/7+๐‘ง/2=1 (c) ๐‘ฅ/8+(๐‘ฆ/8)/3+๐‘ง/4=1 Question 4 Which of the following is a player of Club B? (a) Player sitting at (1, 2, 1) (b) Player sitting at (0, 1, 2) (c) Player sitting at (1, 4, 1) (d) Player sitting at (1, 1, 2)(d) Player sitting at (1, 1, 2) Question 5 The distance of the plane, on which players of Club B are seated, from the origin is (a) 8/โˆš14 units (b) 6/โˆš14 units (c) 7/โˆš14 units (d) 9/โˆš14 units(a) 8/โˆš14 units

About the Author

Davneet Singh's photo - Teacher, Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.