Question

PAIR OF LINEAR EQUATIONS IN TWO VARIABLES
3.47
51. Find the values of x and y in the following rectangle,
x+3y
[NCERT EXEMPLAR)
C
3x + y
7
А.
B
13
Fig. 3.19​

Answer 1

Answer:

Choose the correct answer from the given four options:

Question 1

Graphically, the pair of equations

6x – 3y + 10 = 0

2x – y + 9 = 0

represents two lines which are

(A) intersecting at exactly one point.

(B) intersecting at exactly two points.

(C) coincident.

(D) parallel.

Solution:

(D) The given equations are 6x – 3y + 10 = 0

⇒ 2x – y + [latex]\frac { 10 }{ 3 }[/latex] = 0 …(i)

and 2x – y + 9 = 0 … (ii)

Now, table for 2x – y + [latex]\frac { 10 }{ 3 }[/latex] = 0,

NCERT Exemplar Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables 3.1 Q1

Hence, the pair of equations represent two parallel lines.

Step-by-step explanation:

Choose the correct answer from the given four options:

Question 1

Graphically, the pair of equations

6x – 3y + 10 = 0

2x – y + 9 = 0

represents two lines which are

(A) intersecting at exactly one point.

(B) intersecting at exactly two points.

(C) coincident.

(D) parallel.

Solution:

(D) The given equations are 6x – 3y + 10 = 0

⇒ 2x – y + [latex]\frac { 10 }{ 3 }[/latex] = 0 …(i)

and 2x – y + 9 = 0 … (ii)

Now, table for 2x – y + [latex]\frac { 10 }{ 3 }[/latex] = 0,

NCERT Exemplar Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables 3.1 Q1

Hence, the pair of equations represent two parallel lines.