How will you describe position of a table lamp on your study table to another person ?

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3. Coordinate Geometry

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How will you describe the position of a table lamp on your study table to another person ?

Option A

Option B

Option C

Option D

Solution

Consider that the lamp is placed on the table. Choose two adjacent edges, $DC$ and $AD$. Then, draw perpendiculars on the edges $DC$ and $AD$ from the position of lamp and measure the lengths of these perpendiculars. Let the length of these perpendiculars be $30\, cm$ and $20\, cm$ respectively. Now, the position of the lamp from the left edge $(AD)$ is $20\,cm$ and from the lower edge $(DC)$ is $30 \,cm$. This can also be written as $(20, \,30)$, where $20$ represents the perpendicular distance of the lamp from edge $AD$ and $30$ represents the perpendicular distance of the lamp from edge $DC$.

Standard 9

Mathematics

Locate the points $(5, \,0)$, $(0,\, 5)$, $(2,\,5)$, $(5,\, 2)$, $(-\,3, \,5)$, $(-\,3, \,-\,5)$, $(5,\, -\,3)$ and $(6,\, 1)$ in the Cartesian plane.

easy

In which quadrant or on which axis do each of the points $(-\, 2,\, 4)$, $(3, \,-\, 1)$, $(-\, 1,\, 0)$, $(1,\, 2)$ and $(-\, 3, \,-\, 5)$ lie ? Verify your answer by locating them on the Cartesian plane.

easy

See Fig., and write the following :

$(i)$ The coordinates of $B$.

$(ii)$ The coordinates of $C$.

$(iii)$ The point identified by the coordinates $(-3, -5)$.

$(iv)$ The point identified by the coordinates $(2, \,- 4)$.

$(v)$ The abscissa of the point $D$.

$(vi)$ The ordinate of the point $H$.

$(vii)$ The coordinates of the point $L$.

$(viii)$ The coordinates of the point $M$.

easy

Plot the following ordered pairs $(x,\, y)$ of numbers as points in the Cartesian plane. Use the scale $1\,cm = 1$ unit on the axes.

$x$ $-3$ $0$ $-1$ $4$ $2$

$y$ $7$ $-3.5$ $-3$ $4$ $-3$

easy

Write the coordinates of the points marked on the axes in Fig.

easy

How will you describe the position of a table lamp on your study table to another person ?

Solution

Similar Questions

Locate the points $(5, \,0)$, $(0,\, 5)$, $(2,\,5)$, $(5,\, 2)$, $(-\,3, \,5)$, $(-\,3, \,-\,5)$, $(5,\, -\,3)$ and $(6,\, 1)$ in the Cartesian plane.

In which quadrant or on which axis do each of the points $(-\, 2,\, 4)$, $(3, \,-\, 1)$, $(-\, 1,\, 0)$, $(1,\, 2)$ and $(-\, 3, \,-\, 5)$ lie ? Verify your answer by locating them on the Cartesian plane.

Plot the following ordered pairs $(x,\, y)$ of numbers as points in the Cartesian plane. Use the scale $1\,cm = 1$ unit on the axes. $x$ $-3$ $0$ $-1$ $4$ $2$ $y$ $7$ $-3.5$ $-3$ $4$ $-3$

Write the coordinates of the points marked on the axes in Fig.

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Plot the following ordered pairs $(x,\, y)$ of numbers as points in the Cartesian plane. Use the scale $1\,cm = 1$ unit on the axes.

$x$ $-3$ $0$ $-1$ $4$ $2$

$y$ $7$ $-3.5$ $-3$ $4$ $-3$