From the choices given below, choose the equation whose graphs are given below For Fig. 4.19 (i) y = x (ii) x + y = 0 (iii) y = 2 x (iv) 2 + 3 y = 7 x For Fig. 4.20 (i) y = x + 2 (ii) y = x - 2 (iii) y = - x + 2 (iv) x + 2 y = 6

For first graph: (ii) is correct In given graph, 0,0 , 1 , - 1 , - 1,1 are points. The equation satisfying all these points are x + y = 0 . For second graph: (iii) is correct 2,0 , 0,2 , - 1,1 lies on given graph. The line equation which satisfies both these points are x + y = 2 y = - x + 2 .

E M B I B E

MATHEMATICS>Chapter 4 - Linear Equations in Two Variable>NCERT Exercises With Solutions>Q 1

MEDIUM

9th CBSE

IMPORTANT

Earn 100

Draw the graph of each of the following linear equation in two variables: $x + y = 4$

Important Questions on Linear Equations in Two Variable

MEDIUM

9th CBSE

IMPORTANT

MATHEMATICS>Chapter 4 - Linear Equations in Two Variable>NCERT Exercises With Solutions>Q 1

Draw the graph of each of the following linear equation in two variables:

x - y = 2

MEDIUM

9th CBSE

IMPORTANT

MATHEMATICS>Chapter 4 - Linear Equations in Two Variable>NCERT Exercises With Solutions>Q 1

Draw the graph of each of the following linear equation in two variables:

y = 3 x

.

MEDIUM

9th CBSE

IMPORTANT

MATHEMATICS>Chapter 4 - Linear Equations in Two Variable>NCERT Exercises With Solutions>Q 1

Draw the graph of each of the following linear equation in two variables:

3 = 2 x + y

.

MEDIUM

9th CBSE

IMPORTANT

MATHEMATICS>Chapter 4 - Linear Equations in Two Variable>NCERT Exercises With Solutions>Q 2

Give the equations of two lines passing through

(2, 14)

. How many more such lines are there and why?

MEDIUM

9th CBSE

IMPORTANT

MATHEMATICS>Chapter 4 - Linear Equations in Two Variable>NCERT Exercises With Solutions>Q 3

If the point

(3, 4)

lies on the graph of the equation

3 y = a x + 7

, find the value of

a

.

MEDIUM

9th CBSE

IMPORTANT

MATHEMATICS>Chapter 4 - Linear Equations in Two Variable>NCERT Exercises With Solutions>Q 4

The taxi fare in a city is as follows: For the first kilometer, the fare is

₹ 8

and for the subsequent distance it is

₹ 5

per

k m

. Taking the distance covered as

x k m

and total fare as

₹ y

. write a linear equation for this information and draw its graph.

EASY

9th CBSE

IMPORTANT

MATHEMATICS>Chapter 4 - Linear Equations in Two Variable>NCERT Exercises With Solutions>Q 5

From the choices given below, choose the equation whose graphs are given below

Question Image

For Fig. 4.19

(i) $y = x$

(ii) $x + y = 0$

(iii) $y = 2 x$

(iv) $2 + 3 y = 7 x$

Question Image

For Fig. 4.20

(i) $y = x + 2$

(ii) $y = x - 2$

(iii) $y = - x + 2$

(iv) $x + 2 y = 6$

HARD

9th CBSE

IMPORTANT

MATHEMATICS>Chapter 4 - Linear Equations in Two Variable>NCERT Exercises With Solutions>Q 6

If the work done by a body on application of a constant force is directly proportional to the distance travelled by the body, express this in the form of an equation in two variables and draw the graph of the same by taking the constant force as