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

Last updated at December 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

Ques 19 (MCQ) - The mid-point of (3p,4) and (-2,2q) is (2,6). Find p+q - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ]

part 2 - Question 19 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ] - Solutions of Sample Papers for Class 10 Boards - Class 10

part 3 - Question 19 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ] - Solutions of Sample Papers for Class 10 Boards - Class 10

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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)

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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

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