**NDA Mathematics paper set 1**

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.What is the value of the determinant where?

2

Let S = {1, 2, 3, …). A relation R on S × S is defined by xRy if log_{a} x >

log_{a }y when Then the relation is

3

If 1.5 ≤ x ≤ 4.5, then which one of the following is correct?

4

If AB = C, then what is the value of the determinant of the matrix A?

5

which of the following is correct?

6

.What is the value of

7

The number (1101101 + 1011011)2 can be written in decimal system as

8

.For how many values of k, is the matrix singular?

9

.If C(20, n+2) = C(20, n – 2), then what is n equal to?

10

If (1 + 2x – x2)^{6 }= a_{0} + a1x + a_{2}x^{2 }+ …. + a_{12}x^{12}, then what is a_{0} – a_{1} + a_{2} – a_{3 }+ a_{4 }- … + a_{12} equal to?

11

.The term independent of x in the binomial expansion of is equal to?

12

What is the argument of the complex number

13

The roots α and β of a quadratic equation, satisfy the relations α + β = α^{2 }+ β^{2 }and αβ = α^{2}β^{2}. What is the number of such quadratic equations?