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Question 5 - CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at Dec. 13, 2024 by Teachoo

If the vertices of a parallelogram PQRS taken in order are P(3,4),

Q(-2,3) and R(-3,-2), then the coordinates of its fourth vertex S are

(a) (-2,-1)   (b) (-2,-3)   (c) (2,-1)   (d) (1,2)

 

This question is similar to Question 14 - NCERT Exemplar - MCQ

 

 

Transcript

Question 5 If the vertices of a parallelogram PQRS taken in order are P(3,4), Q(-2,3) and R(-3,-2), then the coordinates of its fourth vertex S are (a) (-2,-1) (b) (-2,-3) (c) (2,-1) (d) (1,2) Since PQRS is a parallelogram It’s Diagonals bisect each other Therefore, Mid point of PR = Mid point of QS ((3 + (−3) )/2,(4 + (−2) )/2)=((−2 + 𝑥)/2,(3 + 𝑦)/2) (0, 2/2)=((−2 + 𝑥)/2,(3 + 𝑦)/2) (0, 2/2)=((−2 + 𝑥)/2,(3 + 𝑦)/2) Comparing x-coordinate 0=(−2 + 𝑥)/2 0 = −2 + x x = 2 Comparing y-coordinate 2/2=(3 + 𝑦)/2 2 = 3 + y y = −1 ∴ Coordinates of point S is (2, −1) So, the correct answer is (c)
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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