Latest oracle Aptitude Question SOLUTION: If A(2,3) ,B(-2,-3) and C(1,2) are three vertices of a triangle ,which among the following is the largest angle ? 1. ABC 2. BCA 3. CAB 4. All three angles are equal

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If A(2,3) ,B(-2,-3) and C(1,2) are three vertices of a triangle ,which
among the following is the largest angle ?

1. ABC 2. BCA 3. CAB 4. All three angles
are equal

Asked In oracle (12 years ago)

Unsolved Read Solution (7)

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Read Solution (7) :

Bharat Kul Ratan  (12 years ago)

Using distance formula,
we get AB=sqrt(52), AC=sqrt(2), BC=sqrt(34) where sqrt(x) is square root of x
As AB is largest side, it's opposite angle which is BCA should be largest.

Second method is to roughly plot the points on coordinate axis and you'll get instantly that BCA is largest angle simply by looking at it.

Is this solution Helpfull? Yes (18) | No (3)  

Aishwarya  (11 years ago)

roughly plot it and just get the answer. it is BCA clearly

Is this solution Helpfull? Yes (14) | No (2)  

sanchit shukla  (11 years ago)

simply can we done b roughly plotting it

Is this solution Helpfull? Yes (3) | No (1)  

Devendra Gour  (10 years ago)

Finding the all sides using distance formula we will find that BC is the longest side.

the angle opposite to greatest side is greatest.

hence angle A will be greatest.(angle is always measured in anticlockwise direction)

hence ans will be angle CAB.

Is this solution Helpfull? Yes (1) | No (4)  

Shalu Jain  (11 years ago)

3. CAB (ans)

Is this solution Helpfull? Yes | No (10)  

iman  (9 years ago)

gradient(AB)=(-3-3)/(-2-2)=3/2
gradient(BC)=5/3
gradient(CA)=1
|gradient(AB) - gradient(BC)| = 1/6
|gradient(AC) - gradient(CA)| = 1.....(LARGEST)
|gradient(CA) - gradient(AB)| = 1/2
so

Is this solution Helpfull? Yes | No (1)  

Uma Sravani Gandebathula  (9 years ago)

seems BCA by a rough graph plot by those points

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