KC Sinha Mathematics Solution Class 9 Chapter 6 Coordinate Geometry exercise 6.1

Page 6.11

Exercise 6.1

Type 1

Question 1 

Write the answer of each of the following Questions :
(i) What is the name of horizontal and vertical lines drawn to determine the position of any point in the Cartesian plane ?
Sol : x-axis and y-axis

(ii) What is the name of each part of the plane formed by these two lines ?
Sol : First quadrant , second quadrant , third quadrant and fourth quadrant

(iii) Write the name of the point where these two lines intersect.
Sol : Origin

Type 2

Question 2

In which quadrant each of the following points lies ?
(i) A (2,1)
Sol : First

(ii) B (-2,2)
Sol : Second

(iii) C (-5,-3)
Sol : Third

(iv) D (2,-3)
Sol : Fourth

(v) E (3,-7)
Sol : Fourth

(vi) F (-4,2)
Sol : Second

(vii) G (2,3)
Sol : First

(viii) H (-1,-4)
Sol : Third

Question 3

Which of the following points lie on x-axis and which ones lie on y-axis ?
(i) A (3,3)
(ii) B (0,3)
(iii) C (3,0)
(iv) D (0,-1)
(v) E (-1,0)
(vi) F (0,0)
(vii) G (-5,0)
(viii) H (0,-6)
Sol : On X-axis: C , E , F and G ,
On Y-axis : B ,D,F and H

Type 3

Question 4

Plot the following points in Cartesian coordinate system :
(i) A (-3,5)
(ii) B (3,-5)
(iii) C (-2,-4)
(iv) D (5,-5)
(v) E (6,-7)
(vi) F (0,4)
(vii) G (5,0)
(viii) H (-1,-3)
Sol :

Question 5

See the given f‌igure and complete the following statements :

(i) The abscissa and the ordinate of the point B are 4 and 3 respectively.Hence, the coordinates of B are (4,3)
(ii) The x-coordinate and the y-coordinate of the point M are -3 and 4 respectively. Hence, the coordinate of M are (-3,4)
(iii) The x-coordinate and the y-coordinate of the point L are -5 and -4 respectively. Hence,the coordinates of L are (-5,-4)
(iv) The x-coordinate and the y-coordinate of the point S are 3 and -4 respectively. Hence, the coordinates of S are (3,-4)

Question 6

See the given f‌igure and write the following :

(i) The coordinates of B
Sol : (-5 , 2)

(ii) The coordinates of C
Sol : (5 , -5)

(iii) The point identif‌ied by the coordinates (-3,-5)
Sol : E

(iv) The point identif‌ied by the coordinates (2,-4)
Sol : G

(v) The abscissa of the point D
Sol : 6

(vi) The coordinate of the point H
Sol : -3

(vii)The coordinate of the point L
Sol : (0 , 5)

(viii) The coordinate of the point M
Sol : (-3 , 0)

Question 7

Plot the points A (4,4) and B(-4,4) . If O be the origin , then what type of f‌igure is made by joining OA , OB  and BA ?
Sol :
Plot the points A (4,4) and B(-4,4) . If O be the origin , then what type of f‌igure is made by joining OA , OB  and BA ?

Question 8

Plot the points A (1,2) , B(6,2) , C(6,4) and D (1,4) . What type of figure is made by joining AB , BC , CD  and DA ?
Sol :
Plot the points A (1,2) , B(6,2) , C(6,4) and D (1,4) . What type of figure is made by joining AB , BC , CD  and DA ?

Question 9

Find the coordinates of points A, B, C, D, E, F, (3, 11, I, J, K from the given figure .
(i)

Sol :
A(-1 , 1); B(2.5 , 1); C(1.5 , 3); D(0 , 3); E(-0.5 , -0.5); F(-0.5 , -1); G(2 , -1); H(2 , -0.5);
(ii)

Sol :
A(-2 , 1); B(2 , 1); C(3 , 2); D(3 , 3.5); E(2.5 , 4); F(-1 , 4); G(-2 , 3); H(-1 , -1); I(2 , -1); J(4 , 1); K(-3 , 1);

(iii)

Sol :
A(0 , 6); B(-4 , 6); C(4 , 8); D(-2 , -2); E(-2 , -8); F(4 , -8);

(iv)

Sol :
A(0 , 4); B(-2 , 2.5); C(2 , 2.5); D(-1 , 0); E(1 , 0);

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