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TextBook Solutions for Jharkhand Academic Council Class 11 Mathematics Chapter 9 Sequences And Series

Question 1

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The x-axis and y-axis taken together determine a plane known as ____________.

Solution

XOY or the XY-plane.

Question 2

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The coordinates of points in the XY-plane are of the form __________.

Easy

Question 3

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Coordinate planes divide the space into _______ octants.

Easy

Question 4

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Let P (-2, 3, -4) is a point in space. Find the co-ordinates of the foot of perpendicular from this point to ZX-plane.

Easy

Question 5

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Let P (-2, 3, -4) is a point in space. Find the foot of perpendicular from this point to the z-axis.

Easy

Question 6

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Let P (-2, 3, -4) is a point in space. Find the the perpendicular distance of P from XY-plane.

Easy

Question 7

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Name the octants in which the following points lie:
A (2, 3, 4), B (6, -3, 3), C (2, -1, -6), D (2, 2, -3), E (-1, 3, -6), F (-1, 3, 3), G (-3, -2,5) and H (-1,-2,-5).

Average

Question 8

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Find the perpendicular distance of:
(i) A (2, -3, 4) from XY-plane
(ii) B (4, -3, 1) from ZX-plane
(iii) C (3, -2, -1) from YZ-plane

Easy

Question 9

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The co-ordinates of a point A are (2, -3, 6). Write down the co-ordinates of seven points whose absolute values are the same as those of the co-ordinates of the given point.

Average

Question 10

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The co-ordinates of a point P are (a, b, c) where a, b, c > 0. If the perpendicular distance of P from XY-plane is equal to half the sum of its perpendicular distances from ZX-plane and YZ-plane, find a relation between a, b and c.

Average

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