1. Class 10
  2. Solutions of Sample Papers for Class 10 Boards
  3. CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ]
Check sibling questions

Question 19 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ] - Solutions of Sample Papers for Class 10 Boards

Last updated at Dec. 16, 2024 by Teachoo

The mid-point of (3p, 4) and (−2, 2q) is (2, 6) . Find the value of p + q

(a) 5  (b) 6        (c) 7        (d) 8

Transcript

Question 19 The mid-point of (3p, 4) and (−2, 2q) is (2, 6) . Find the value of p + q (a) 5 (b) 6 (c) 7 (d) 8 Let point M (2, 6) be Mid-point of A (3p, 4) and B (–2, 2a) Now, Coordinates of mid-point M = ((𝑥_1 + 𝑥_2)/2,(𝑦_1 + 𝑦_2)/2) (2, 6) = ((𝟑𝒑 + (−𝟐) )/𝟐,(𝟒 + 𝟐𝒒)/𝟐) (2, 6) = ((3𝑝 − 2)/2,(2𝑞 + 4)/2) Comparing x-coordinate 2 = (𝟑𝒑 − 𝟐)/𝟐 2 × 2 = 3p − 2 4 = 3p − 2 4 + 2 = 3p 6 = 3p 3p = 6 p = 6/3 p = 2 Comparing y-coordinate 6 = (𝟐𝒒 + 𝟒)/𝟐 6 × 2 = 2q + 4 12 = 2q + 4 12 − 4 = 2q 8 = 2q 2q = 8 q = 8/2 q = 4 Thus, p + q = 2 + 4 = 6 So, the correct answer is (b)
  1. Class 10
  2. Solutions of Sample Papers for Class 10 Boards

    3. CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ]

    CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard →
CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard →
Class 10
Solutions of Sample Papers for Class 10 Boards

About the Author

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo