A Point Whose Abscissa and Ordinate Are 2 and −5 Respectively, Lies in - Mathematics


A point whose abscissa and ordinate are 2 and −5 respectively, lies in


  • First quadrant

  • Second quadrant

  • Third quadrant

  • Fourth quadrant



As shown in graph that a point whose abscissa and ordinate are  2 and  -5respectively lies in the fourth quadrant.

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Chapter 8: Co-ordinate Geometry - Exercise 8.2 [Page 7]


RD Sharma Mathematics for Class 9
Chapter 8 Co-ordinate Geometry
Exercise 8.2 | Q 4 | Page 7

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On which axis do the following points lie?

P(5, 0)

On which axis do the following points lie?


Let ABCD be a square of side 2a. Find the coordinates of the vertices of this square when The centre of the square is at the origin and coordinate axes are parallel to the sides AB and AD respectively.

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

AB2 + BC2 + CA2 = 3 (GA2 + GB2 + GC2)

Find the coordinates of the circumcentre of the triangle whose vertices are (3, 0), (-1, -6) and (4, -1). Also, find its circumradius.

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

Prove that the points (0, 0), (5, 5) and (-5, 5) are the vertices of a right isosceles triangle.

Find the ratio in which the point (2, y) divides the line segment joining the points A (-2,2) and B (3, 7). Also, find the value of y.

If the points A (a, -11), B (5, b), C (2, 15) and D (1, 1) are the vertices of a parallelogram ABCD, find the values of a and b.

The line joining the points (2, 1) and (5, -8) is trisected at the points P and Q. If point P lies on the line 2x - y + k = 0. Find the value of k.

If the points p (x , y) is point equidistant from the points A (5,1)and B ( -1,5) , Prove that 3x=2y

If the point C ( - 2,3)  is equidistant form the points A (3, -1) and Bx (x ,8)  , find the value of x. Also, find the distance between BC

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.

The line segment joining the points A(3,-4) and B(1,2) is trisected at the points P(p, -2) and Q `(5/3,q).` . Find the values of p and q.

Points A(-1, y) and B(5,7) lie on the circle with centre O(2, -3y).Find the value of y.

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

Find the coordinates of the centre of the circle passing through the points P(6, –6), Q(3, –7) and R (3, 3).

Show that A(-4, -7), B(-1, 2), C(8, 5) and D(5, -4) are the vertices of a
rhombus ABCD.

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

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

The measure of the angle between the coordinate axes is

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

If A(3, y) is equidistant from points P(8, −3) and Q(7, 6), find the value of y and find the distance AQ. 

If (0, −3) and (0, 3) are the two vertices of an equilateral triangle, find the coordinates of its third vertex.    

Write the formula for the area of the triangle having its vertices at (x1, y1), (x2, y2) and (x3, y3).

The perimeter of the triangle formed by the points (0, 0), (0, 1) and (0, 1) is 

If Points (1, 2) (−5, 6) and (a, −2) are collinear, then a =

If the points P (xy) is equidistant from A (5, 1) and B (−1, 5), then

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?

Write the equations of the x-axis and y-axis. 

In the above figure, seg PA, seg QB and RC are perpendicular to seg AC. From the information given in the figure, prove that: `1/x + 1/y = 1/z`

Find the coordinates of the point of intersection of the graph of the equation x = 2 and y = – 3

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

What are the coordinates of origin?

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

The point at which the two coordinate axes meet is called the ______.

Points (1, – 1), (2, – 2), (4, – 5), (– 3, – 4) ______.

The points (– 5, 2) and (2, – 5) lie in the ______.

If the perpendicular distance of a point P from the x-axis is 5 units and the foot of the perpendicular lies on the negative direction of x-axis, then the point P has ______.

If the coordinates of the two points are P(–2, 3) and Q(–3, 5), then (abscissa of P) – (abscissa of Q) is ______.

The points whose abscissa and ordinate have different signs will lie in ______.

Which of the points P(0, 3), Q(1, 0), R(0, – 1), S(–5, 0), T(1, 2) do not lie on the x-axis?

Seg AB is parallel to X-axis and coordinates of the point A are (1, 3), then the coordinates of the point B can be ______.

If the coordinate of point A on the number line is –1 and that of point B is 6, then find d(A, B).

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`.

Co-ordinates of origin are ______.


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