NIMCET 2021 Question Paper with solutions

© examsiri.com

Question : 25 of 120

Marks: +1, -0

If

P(1,2), Q(4,6), R(5,7)

and

S(a, b)

are the vertices of a parallelogram PQRS, then

$a=2, b=3$
$a=3, b=4$
$a=2, b=4$
$a=3, b=5$

Solution:

Since diagonals of parallelogram bisect each other.

So, mid point of

A C

and

B D

wil be co-incident
Co-ordinates of

{O}=({1+5}/{2}, {2+1}/{7})

=(3, {9}/{2})

Mid point of

B D=(3, {9}/{2})

({4+a}/{2}, {6+b}/{2})=(3, {9}/{2})

{4+a}/{2}=3

and

{6+b}/{2}={9}/{2}

a=2

and

b=3

© examsiri.com

Go to Question:

Prev Question

Next Question