SATHEE: Straight Line and Pair of Straight Lines 3 Question 6

Straight Line and Pair of Straight Lines 3 Question 6

7. Given the four lines with the equations

$x + 2 y - 3 = 0, 3 x + 4 y - 7 = 0$ ,

$2 x + 3 y - 4 = 0, 4 x + 5 y - 6 = 0$ , then

(1980, 1M)

(a) they are all concurrent

(b) they are the sides of a quadrilateral

(d) None of the above

Objective Question II

(One or more than one correct option)

Show Answer

Answer:

Correct Answer: 7. (c)

Solution:

Given lines, $x + 2 y - 3 = 0$ and $3 x + 4 y - 7 = 0$ intersect at $(1, 1)$ , which does not satisfy $2 x + 3 y - 4 = 0$ and $4 x + 5 y - 6 = 0$ .

Also, $3 x + 4 y - 7 = 0$ and $2 x + 3 y - 4 = 0$ intersect at $(5, - 2)$ which does not satisfy $x + 2 y - 3 = 0$ and $4 x + 5 y - 6 = 0$ .

Lastly, intersection point of $x + 2 y - 3 = 0$ and $2 x + 3 y - 4 = 0$ is $(- 1, 2)$ which satisfy $4 x + 5 y - 6 = 0$ . Hence, only three lines are concurrent.

Straight Line and Pair of Straight Lines 3 Question 6

7. Given the four lines with the equations

Objective Question II

Answer:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Straight Line and Pair of Straight Lines 3 Question 6

7. Given the four lines with the equations

Objective Question II

Answer:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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