## 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.

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Based on the above answer the following:

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Question 1
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## The Cartesian equation of the plane on which players of Club A are seated is

## (a) 2𝑥 − 𝑦 + 𝑧 = 3

## (b) 2𝑥 − 𝑦 + 2𝑧 = 3

## (c) 2𝑥 − 𝑦 + 𝑧 = −3

## (d) 𝑥 − 𝑦 + 𝑧 = 3

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Question 2
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## 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

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Question 3
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## 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

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Question 4
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## 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)

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Question 5
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## 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