1
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
ABC is a triangular plot with AB = 16 m, BC = 10 m and CA = 10 m. A lamp post is situated at the middle point of the side AB. The lamp post subtends an angle 45° at the vertex B.

What is cos A + cos B + cos C equal to ?

A
1
B
$\frac{41}{25}$
C
$\frac{37}{25}$
D
$\frac{33}{25}$
2
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
In a triangle ABC, a = 4, b = 3, c = 2. What is cos 3C equal to ?
A
$\frac{7}{128}$
B
$\frac{11}{128}$
C
$\frac{7}{64}$
D
$\frac{11}{64}$
3
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Let a, b, c be the lengths of sides BC, CA, AB respectively of a triangle ABC. If p is the perimeter and q is the area of the triangle, then what is $p(p-2a) \tan \left(\frac{A}{2}\right)$ equal to ?
A
q
B
2q
C
3q
D
4q
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