8/6/2019 Assignment_13_class Ix Coordinate Geometry Leq

1/2

GURUKUL CLASSES by VIJAYA RAJE 5/20/11

QR 2035 SECTOR 4D, 231536,232968, 9334251986, 9430313186,

88849

ASSIGNMENT 13 CLASS IX COORDINATE GEOMERY+LEQ

ILLUSTRATION

1. Write a linear equation to represent each of the following statements.

i. The cost of a pen is thrice the cost of a pencil.

ii. 5 books and 7 pens cost together Rs 79

iii. The numerator of a fraction is 4 less than the denominator.

1. Write each of the following equations in the form ax + by + c = 0 and indicate the values

of a , b and c in each case.

i. 2x + 3y = 9.35

ii. x 4 = 3y

1. Find four solutions ofx + 2y = 6

2. Find the value of k if x = 2 , y = 1 is a solution of the equation 2x + 3y = k.

3. Show thatx = 3 &y = 2 is a solution of5x 3y = 9

4. If the point ( 3 , 4 ) lies on the graph of the equation 3y = ax + 7 , find the value of a and

hence draw the graph of linear equation.

C.W.

5. In which quadrant or on which axis do each of the pointA(-1,4) , B(3 ,-1) , C(-1,0) , D(1,2) and

E(-3,-5) lie? Verify your answer by locating them on the Cartesian plane.

6. Locate the following points on the Cartesian plane (3,5) , (4,-2) , (6,-7), ( -7,0) , ( 0, -7) , (0 ,

-4) , (0,0)7. Write linear equation in two variables to represent each of the following statement

i. The age of Jenson is less than age of Gibin by 6 years.

ii. Sonu is one third as old as his father.

1. Write each of the following equations in the form ax + by +c = 0and indicate the value of a

, b and c in each case.

i. 3x + 2 = 0

ii. 2x = - 5y

iii. 2x + 3y = 61. Find two solutions for each of the following equations : a) 4x + 3y = 12 b) 3x + 5y = 0 c) 3x

2 =0

2. a) Find the value of k ifx = 3 and y = 2 is a solution of the equation 5x + 3y = k

b) If(p,6) is a solution of the equation 6x = y + 21 , find the value of p.

c) (2p 1 , p) is a solution of the equation 10x 9y = 15 , find the value of p.

3. Find four solution to the following equations : a) 2x + y = 7 b) x + y = 9

4. Show thatx = 5 and y = 2 is a solution of system of linear equations ; 2x + 3y = 16 , x 2y =

1

8/6/2019 Assignment_13_class Ix Coordinate Geometry Leq

2/2

GURUKUL CLASSES by VIJAYA RAJE 5/20/11

QR 2035 SECTOR 4D, 231536,232968, 9334251986, 9430313186,

88849

ASSIGNMENT 13 CLASS IX COORDINATE GEOMERY+LEQ

5. Draw the graphs of each of the following linear equations

i. y 2 =0

ii. 2y+3=0

iii. 2y+3=y+6

1. Express y in terms of x , it being given that 2x + 3y = 5. Check whether the point ( 1, 1) is on

the line represented by the equation 2x + 3y 5 = 0. From the graph find the value ofy at x

= 4.

H.W.

2. Write a linear equation to represent each of the following statements.

i. In a one day international cricket match between India and Sri Lanka , the two teamsscored 679 runs.

ii. Two number are such that two times of one is three times of other.

1. Write each of the following equations in the form ax + by + c = 0 and indicate the values of

a , b and c in each case.

i. 5x 3y = 4

ii. 2x = y

iii. eq \f(x,2) - y 7 = 0

iv. y 5 = 0

1. Find three solutions of the following equations :

a) x+y=10

b) 8x-3y=10

c) y= eq \f(3,2) x + 2

d) x + eq \f(y,3) = 1

1. Check which of the following are solution of the equationx + 2y 4 = 0 : i) (0,2) ii) (1,3) iii)

(2, -22) iv) (1, eq \f(3,2) ) v) (4,0)

21. Express x in terms of y , given that 3x+4y-12 = 0. Also check whetherx=6 , y= eq \f(-3,2) is a

solution of this equation.

22. Draw the graphs of following : a) x-3=0 b) x+2=0 c) 2x-5=0 d) 2x+1=3x+2

23. Express y in terms of x , it being given that 3x 2y = 6. Check , whether(1,2) is on the line

represented by the equation 3x 2y = 6 From the graph find the value ofy at x =4.

24.Solve the following system of linear equations graphically 4x-5y-20=0 and 3x+5y-15=0.

determine the vertices of the triangle formed by the two lines represented by two lines

and equations and y axis.