Ex 1. Find the distance between the points P(3, 2) and Q(4, 5)
Sol. P(3, 2), Q(4, 5)
Ex 2. Find the point on the xaxis which is equidistance from (2, 5) and (2, 9).
Sol. We know that a point on the xaxis is of form (x, 0). Let the point on the xaxis be P(x, 0) and the given points are A(2, 5) and B(2, 9)
Ex 3. In which quadrant do the following points lie ?
(i) (3, 2)
(ii) (2, 1)
(iii) (1, 3)
(iv) (5, 1)
Sol. (i) In the point (3, 2) abscissa and ordinate one both positive. So it lies in the 1st quadrant.
(ii) In the point (2, 1) abscissa is negative and ordinate is positive. So it lies in the second quadrant.
(iii) In the point (1, 3) abscissa and ordinate are both negative. So it lies in third quadrant.
(iv)In the point (5, 1) abscissa is positive and ordinate is negative. So it ies in the fourth quadrant.
Ex 4. Which of the following points lie on the xaxis.
(i) (1, 1)
(ii) (1, 0)
(iii) (0, 1)
(iv) (0, 0)
(v) (1, 0)
(vi) (0, 1)
(vii) (4, 0)
(viii) (0, 7)
Sol. Points of the form (a, 0),i.e. the points in which ordinate is 0, those points lie on the xaxis, and the points in which abscissa is 0, lie on the yaxis.
(ii) (1, 0),
(iv) (0, 0),
(v) (1, 0),
(vii) (4, 0).
Ex 5. Plot the following points on the graph paper.
(i) A(2, 5)
(ii) B(5, 7)
(iii) C(3, 2)
(iv) D(0, 5)
(v) E(5, 0)
Sol. Let XOX' and YOY' be the coordinate axes. Then the given points may be plotted as given below :
Ex 6. Plot the following points on a graph paper.
(i) (3, 4)
(ii) (2, 3)
(iii) (5, 2) (iv) (4, 3)
Sol. Let X'OX and Y'OY be the coordinate axes. The given four points may be potted as given below:
Ex 7. From the figure, find :
(i) Absicca
(ii) Ordinate
(iii) Coordinate of point P.
Sol. (i) Abscissa = PN = OM = 3 units
(ii) Ordinate = PM =ON = 4 units
(iii) Cooridinate of the point P = (Abscissa, ordinate) = (3, 4)
Ex 8. Determine y
(i) Abscissa N
(ii) Ordinate
(iii) Coordinate of point P given in the following figure.
Sol. (i) Abscissa of the point P = NP = OM =  a
(ii) Ordinates of the point P = MP = ON = b
(iii) Coordinates of the point P = (Abscissa, ordinate) = (a, b)
Ex 9. Write down the
(i) Absicca
(ii) Ordinate
(iii) Coordinate of P, Q, R and S as given in figure :
Sol. Point P : Abscissa of P = 2 ; Ordinate of P = 3
Coordinate of P = (2, 3)
Point Q : Abscissa of Q = 2 ; Ordinate of Q = 4
Coordinate of Q = (2, 4)
Point R : Abscissa of R = 5 ; Ordinate of R = 3
Coordinate of R = (5, 3)
Point S : Abscissa of S = 5 ; Ordinate of S = 1
Coordinate of S = (5, 1)
Ex 10. Plot the points A(2, 0), B(2, 2), C(0, 2) and draw the line segment OA, AB, BC and CO. What figure do you obtain ?
Sol. On joining OA, AB, BC and CO, we get a square of each side 2 units.
1 videos228 docs21 tests

1. What is Coordinate Geometry? 
2. How is Coordinate Geometry used in real life? 
3. What are the different types of coordinates used in Coordinate Geometry? 
4. Can you explain the concept of slope in Coordinate Geometry? 
5. How can we find the distance between two points in Coordinate Geometry? 
1 videos228 docs21 tests


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