###### Advertisements

###### Advertisements

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

###### Advertisements

#### Solution 1

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.

#### Solution 2

For describing the position of a mobile phone kept on the study table, we take two lines, a perpendicular and a horizontal line.

Considering the table as a plane(x and y axis) and taking perpendicular line as Y axis and horizontal as X axis respectively. Take one corner of table as origin where both X and Y axes intersect each other. Now, the length of table is Y axis and breadth is X axis. From The origin, join the line to the mobile phone and mark a point. The distances of the point from both X and Y axes should be calculated and then should be written in terms of coordinates.

Let the distance of the point from X- axis and Y- axis is x and y respectively, so the mobile phone will be in (x, y) coordinate.

#### APPEARS IN

#### RELATED QUESTIONS

On which axis do the following points lie?

R(−4,0)

If *G* be the centroid of a triangle ABC, prove that:

AB^{2} + BC^{2} + CA^{2} = 3 (GA^{2} + GB^{2} + GC^{2})

Find a point on y-axis which is equidistant from the points (5, -2) and (-3, 2).

In what ratio is the line segment joining the points (-2,-3) and (3, 7) divided by the y-axis? Also, find the coordinates of the point of division.

In what ratio is the line segment joining (-3, -1) and (-8, -9) divided at the point (-5, -21/5)?

If the point ( x,y ) is equidistant form the points ( a+b,b-a ) and (a-b ,a+b ) , prove that bx = ay

Points P, Q, and R in that order are dividing line segment joining A (1,6) and B(5, -2) in four equal parts. Find the coordinates of P, Q and R.

If (2, p) is the midpoint of the line segment joining the points A(6, -5) and B(-2,11) find the value of p.

In what ratio does the line x - y - 2 = 0 divide the line segment joining the points A (3, 1) and B (8, 9)?

Find the ratio in which the line segment joining the points A(3, 8) and B(–9, 3) is divided by the Y– axis.

Find the coordinates of the circumcentre of a triangle whose vertices are (–3, 1), (0, –2) and (1, 3).

Find the possible pairs of coordinates of the fourth vertex D of the parallelogram, if three of its vertices are A(5, 6), B(1, –2) and C(3, –2).

Point P(*x*, 4) lies on the line segment joining the points A(−5, 8) and B(4, −10). Find the ratio in which point P divides the line segment AB. Also find the value of *x*.

Show that `square` ABCD formed by the vertices A(-4,-7), B(-1,2), C(8,5) and D(5,-4) is a rhombus.

The co-ordinates of point A and B are 4 and -8 respectively. Find d(A, B).

ΔXYZ ∼ ΔPYR; In ΔXYZ, ∠Y = 60o, XY = 4.5 cm, YZ = 5.1 cm and XYPY =` 4/7` Construct ΔXYZ and ΔPYR.

Write the answer of each of the following questions:-

What is the name of each part of the plane formed by these two lines?

Points (−4, 0) and (7, 0) lie

The ordinate of any point on x-axis is

Two points having same abscissae but different ordinate lie on

The perpendicular distance of the P (4,3) from y-axis is

The distance of the point *P* (4, 3) from the origin is

The area of the triangle formed by the points A(2,0) B(6,0) and C(4,6) is

If the vertices of a triangle are (1, −3), (4, *p*) and (−9, 7) and its area is 15 sq. units, find the value(s) of *p*.

Find the value of* k* if points A*(k*, 3), B(6, −2) and C(−3, 4) are collinear.

Find the value of k, if the points *A*(7, −2), *B* (5, 1) and *C *(3, 2*k*) are collinear.

If R (x, y) is a point on the line segment joining the points P (a, b) and Q (b, a), then prove that *x *+ *y* = *a* + *b*.

Write the ratio in which the line segment joining points (2, 3) and (3, −2) is divided by X axis.

What is the distance between the points (5 sin 60°, 0) and (0, 5 sin 30°)?

If three points (0, 0), \[\left( 3, \sqrt{3} \right)\] and (3, λ) form an equilateral triangle, then λ =

If the line segment joining the points (3, −4), and (1, 2) is trisected at points *P* (a, −2) and *Q *\[\left( \frac{5}{3}, b \right)\] , Then,

If P(2, 4), Q(0, 3), R(3, 6) and S(5, *y*) are the vertices of a parallelogram PQRS, then the value of *y* is

What is the form of coordinates of a point on the X-axis?

Any point on the line y = x is of the form ______.

In which quadrant does the point ( - 4, - 3) lie?

What is the nature of the line which includes the points ( -5, 5), (6, 5), (- 3, 5), (0, 5)?

Which of the points P ( -1, 1), Q (3, - 4), R(1, -1), S ( -2, - 3), T (- 4, 4) lie in the fourth quadrant?

If segment AB is parallel Y-axis and coordinates of A are (1, 3), then the coordinates of B are ______

If point P is midpoint of segment joining point A(– 4, 2) and point B(6, 2), then the coordinates of P are ______

If the sum of X-coordinates of the vertices of a triangle is 12 and the sum of Y-coordinates is 9, then the coordinates of centroid are ______

Write the X-coordinate and Y-coordinate of point P(– 5, 4)

Ordinate of all points on the x-axis is ______.

Abscissa of a point is positive in ______.

(–1, 7) is a point in the II quadrant

In which quadrant, does the abscissa, and ordinate of a point have the same sign?

If the points P(1, 2), Q(0, 0) and R(x, y) are collinear, then find the relation between x and y.

Given points are P(1, 2), Q(0, 0) and R(x, y).

The given points are collinear, so the area of the triangle formed by them is `square`.

∴ `1/2 |x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)| = square`

`1/2 |1(square) + 0(square) + x(square)| = square`

`square + square + square` = 0

`square + square` = 0

`square = square`

Hence, the relation between x and y is `square`.

If the vertices of a parallelogram PQRS taken in order are P(3, 4), Q(–2, 3) and R(–3, –2), then the coordinates of its fourth vertex S are ______.

Co-ordinates of origin are ______.

The coordinates of the point where the line 2y = 4x + 5 crosses x-axis is ______.