Question

Without drawing the graph show that lines representing the equations 6x-3y+10=0 and 2x-y+9=0 are parallel to each other ...
Please answer this

Answer 1

Answer:

Step-by-step explanation:

Show that a1/a2=b1/b2not equal to c1/c2

The above are coefficients

Answer 2

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 exactly two points

(c) coincident

(d) parallel

Solution: (d)

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NCERT Exemplar Solution for CBSE Class 10 Mathematics: Pair of Linear Equations (Part-I)

GURMEET KAUR JUN 21, 2017 15:57 IST

Here you get the CBSE Class 10 Mathematics chapter 3, Pair of Linear Equations in Two Variables: NCERT Exemplar Problems and Solutions (Part-I). This part of the chapter includes solutions for Exercise 3.1 of NCERT Exemplar Problems for Class 10 Mathematics Chapter: Pair of Linear Equations in Two Variables. This exercise comprises of only the Multiple Choice Questions (MCQs) framed from various important topics in the chapter. Each question is provided with a detailed solution.

NCERT Exemplar problems are a very good resource for preparing the critical questions like Higher Order Thinking Skill (HOTS) questions. All these questions are very important to prepare for CBSE Class 10 Mathematics Board Examination 2017-2018 as well as other competitive exams.

Find below the NCERT Exemplar problems and their solutions for Class 10 Mathematics Chapter, Pair of Linear Equations in Two Variables:

Exercise 3.1

Multiple Choice Questions (MCQs)

Quesntion1. 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 exactly two points

(c) coincident

(d) parallel

Solution: (d)

Explanation:

On comparing with a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 we have a1 = 6, b1 = ‒3, c1 = 10 and a2 = 2, b2y = ‒1, c2 = 9.

So, the given system of equations have no solution, this will be possible if two lines never intersect each other.

In other words both the lines are parallel to each other.

Rough figure is shown below for reference,

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