## For which value(s) of p, will the lines represented by the following pair of linear equations be parallel

## 3x − y − 5 = 0

## 6x −2y − p = 0

## (a) all real values except 10 (b) 10 (c) 5/2 (d) 1/2

Last updated at Nov. 1, 2019 by Teachoo

Transcript

Question 4 For which value(s) of p, will the lines represented by the following pair of linear equations be parallel 3x − y − 5 = 0 6x − 2y − p = 0 (a) all real values except 10 (b) 10 (c) 5/2 (d) 1/2 Given lines 3x − y − 5 = 0 and 6x − 2y − p = 0 3x − y − 5 = 0 Comparing with a1x + b1y + c1 = 0 a1 = 3, b1 = –1, c1 = –5 6x − 2y − p = 0 Comparing with a2x + b2y + c2 = 0 a2 = 6, b2 = –2, c2 = –p Now, Since lines are parallel 𝑎_1/𝑎_2 = 𝑏_1/𝑏_2 ≠ 𝑐_1/𝑐_2 Comparing 𝑎_1/𝑎_2 = 𝑏_1/𝑏_2 ≠ 𝑐_1/𝑐_2 3/6=(−1)/(−2) ≠ (−5)/(−𝑝) 1/2=1/2 ≠ 5/𝑝 Therefore, 1/2 ≠ 5/𝑝 p ≠ 5 × 2 p ≠ 10 So, correct answer is (a) – all real values except 10

CBSE Class 10 Sample Paper for 2020 Boards - Maths Standard

Paper Summary

Question 1 Important

Question 2 Important

Question 3

Question 4 Important You are here

Question 5 Important

Question 6 Important

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Question 9 Important

Question 10

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Question 12 (OR 1st question)

Question 12 (OR 2nd question)

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Question 18 (OR 1st question) Important

Question 18 (OR 2nd question) Important

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Question 23 (OR 1st question) Important

Question 23 (OR 2nd question)

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Question 27 (OR 1st question)

Question 27 (OR 2nd question) Important

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Question 29 (OR 1st question)

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Question 31 Important

Question 32 (OR 1st question) Important

Question 32 (OR 2nd question) Important

Question 33 Important

Question 34 Important

Question 35 (OR 1st question) Important

Question 35 (OR 2nd question)

Question 36

Question 37 (OR 1st question)

Question 37 (OR 2nd question)

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About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.