﻿ OPQR is square and M, N are the middle points of the sides PQ and QRrespectively then the ratio of the areas of the square and the triangle OMNis : Kaysons Education

# OPQR is Square And M, N are The Middle Points Of The Sides PQ and QRrespectively Then The Ratio Of The Areas Of The Square And The Triangle OMNis

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## Question

### Solution

Correct option is

8 : 3

Taking the coordinate of vertices O,P,Q,R as (0, 0), (a, 0), (a, a), (0, a) respectively we get the coordinates of M as (aa/2) and of N as (a/2, a

Area of the square = a2

∴ the required ratio is 8 : 3.

#### SIMILAR QUESTIONS

Q1

ABCD is a rectangle with A(–1,2),B(3,7) and AB : BC = 4:3. If isthe center of the rectangle then the distance of p from each corner is equal to

Q2

If a (2,0) and (0,2) are given points and p is a point such that PA:PB = 2:3 then the locus of p passes through the point (a,a) for

Q3

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Q4

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Q5

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Q6

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Q7

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Q8

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Q9

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Q10

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