CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard
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CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard
Last updated at April 16, 2024 by Teachoo
This question is similar to Question 14 - NCERT Exemplar - MCQ
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)
