Q.

Name the type of triangle P Q R formed by the points P( 2 , 2 ),   Q( 2 , 2 )  and R( 6 , 6 )  .


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a

ΔPQR  is a scalene triangle

b

ΔPQR  is an isosceles triangle

c

ΔPQR  is a right-angled triangle

d

ΔPQR  is an equilateral triangle 

answer is D.

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Detailed Solution

The points of the triangle given in the question are, P( 2 , 2 ),   Q( 2 , 2 )  and R( 6 , 6 )  .
We'll start by determining how long each side is with the help of distance formula which is given by, d= y2-y12+x2-x12
Question ImageHence, the correct option is 4.
 
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