1
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

In the triangle ABC, 

a2 + b2 + c2 = ac + √3 bc

What is the nature of the triangle ? 
A
Equilateral
B
Isosceles
C
Right angled triangle
D
Scalene but not right angled
2
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

In the triangle ABC, 

a2 + b2 + c2 = ac + √3 bc

If c = 8, what is the area of the triangle ?
A
4√3
B
6√3
C
8√3
D
12√3
3
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

In a triangle POR, P is the largest angle and cosP = $\frac{1}{3}$. Further the in-circle of the triangle touches the sides PQ, QR and RP at N, L and M respectively such that the lengths PN, QL and RM are n, n + 2, n + 4 respectively where n is an integer. 

What is the value of n ? 
A
4
B
6
C
8
D
10
4
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

In a triangle POR, P is the largest angle and cosP = $\frac{1}{3}$. Further the in-circle of the triangle touches the sides PQ, QR and RP at N, L and M respectively such that the lengths PN, QL and RM are n, n + 2, n + 4 respectively where n is an integer. 

What is the length of the smallest side ?
A
12
B
14
C
16
D
18
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