1
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Suppose 20 distinct points are placed randomly on a circle. Which of the following statements is/are correct?

1. The number of straight lines that can be drawn by joining any two of these points is 380.

2. The number of triangles that can be drawn by joining any three of these points is 1140.

Select the correct answer using the code given below.

A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2
2
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
How many terms are there in the expansion of $\rm \left(\frac{a^2}{b^2}+\frac{b^2}{a^2}+2\right)^{21}$ where a ≠ 0, b ≠ 0? 
A
21
B
22
C
42
D
43
3
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
For what values of k is the system of equations 2k2x + 3y - 1 = 0, 7x - 2y + 3 = 0, 6kx + y + 1 = 0 consistent?
A
$\rm \frac{3±\sqrt{11}}{10}$
B
$\rm \frac{21±\sqrt{161}}{10}$
C
$\rm \frac{3±\sqrt{7}}{10}$
D
$\rm \frac{4±\sqrt{11}}{10}$
4
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
The inverse of a matrix A is given by $\rm \begin{bmatrix} -2 & 1 \\ \frac{3}{2} & -\frac{1}{2} \end{bmatrix}$ What is A equal to?
A
$\rm \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}$
B
$\rm \begin{bmatrix} 1 & -2 \\ -3 & 4 \end{bmatrix}$
C
$\rm \begin{bmatrix} 1 & 2 \\ 3 & -4 \end{bmatrix}$
D
$\rm \begin{bmatrix} -1 & 2 \\ 3 & 4 \end{bmatrix}$
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