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NDA Mock Test - 10 - Defence MCQ


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30 Questions MCQ Test - NDA Mock Test - 10

NDA Mock Test - 10 for Defence 2024 is part of Defence preparation. The NDA Mock Test - 10 questions and answers have been prepared according to the Defence exam syllabus.The NDA Mock Test - 10 MCQs are made for Defence 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for NDA Mock Test - 10 below.
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NDA Mock Test - 10 - Question 1

If (4, 0) and (–4, 0) are foci of an ellipse and semiminor axis is 3, then the ellipse passes through which one of the following points?

NDA Mock Test - 10 - Question 2

Under what condition do the planes bx – ay = n, cy – bz = 1, az – cx = m intersect in a line?

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NDA Mock Test - 10 - Question 3

What is the maximum point on the curve x = ex y?

NDA Mock Test - 10 - Question 4

The function f (x) = ex, x ∈ R is 

NDA Mock Test - 10 - Question 5

If , then what dy/dx is equal to?

NDA Mock Test - 10 - Question 6

What is the value of λ for which the vectors  are coplanar ?

NDA Mock Test - 10 - Question 7

What is the equation of the plane through z-axis and parallel to the line 

NDA Mock Test - 10 - Question 8

If the lines 3y + 4x = 1, y = x + 5 and 5y + bx = 3 are concurrent, then what is the value of b?

NDA Mock Test - 10 - Question 9

What is the least value of f (x) = 2x3 – 3x2 – 12x + 1 on [–2, 2.5]? 

NDA Mock Test - 10 - Question 10

What is the derivative of 

NDA Mock Test - 10 - Question 11

If (–5, 4) divides the line segment between the coordinate axes in the ratio 1 : 2, then what is its equation? 

NDA Mock Test - 10 - Question 12

What is the value of  ?

NDA Mock Test - 10 - Question 13

Out of 32 persons, 30 invest in National Savings Certificates and 17 invest in shares.  What is the number of persons who invest in both?

NDA Mock Test - 10 - Question 14

What are the equations of the directives of the ellipse 25x2 + 16y2 = 400?

NDA Mock Test - 10 - Question 15

Let A be an n x n matrix. If det (λA) = λs det (A), what is the value of s? 

NDA Mock Test - 10 - Question 16

Let E be the ellipse  and C be the circle x2 + y2 = 9. Let P = (1, 2) and Q = (2, 1). Which one of the following is correct? 

NDA Mock Test - 10 - Question 17

What is the geometric interpretation of the identity  ?

1. If the diagonals of a given parallelogram are used as sides of a second parallelogram, then the area of the second parallelogram is twice that of the given parallelogram. 
2. If the semi-diagonals of a given parallelogram are used as sides of a second parallelogram, then the area of the second parallelogram is half that of the given parallelogram. 

Select the correct answer using the code given below: 

NDA Mock Test - 10 - Question 18

What is 

NDA Mock Test - 10 - Question 19

The function  from R to R is 

NDA Mock Test - 10 - Question 20

If A be a real skew-symmetric matrix of order n such that A2 + I = 0, I being the identity matrix of the same order as that of A, then what is the order of A?

NDA Mock Test - 10 - Question 21

If sin x + cosec x = 2, then what is the value of sin4x + cosec4x?

NDA Mock Test - 10 - Question 22

What is the value of tan 15o + cot 15o ?

NDA Mock Test - 10 - Question 23

If A + B + C = π/2, then what is the value of tan A tan B + tan B tan C + tan C tan A?

NDA Mock Test - 10 - Question 24

If angles of a triangle are in the ratio 1 : 2 : 3, then what is the ratio of its corresponding sides? 

NDA Mock Test - 10 - Question 25

If C (n, 12) = C (n, 8), then what is the value of C (22, n)? 

NDA Mock Test - 10 - Question 26

If  where ω is cube root of unity, then what is A100 equal to?

NDA Mock Test - 10 - Question 27

What is the modulus of  equal to?

NDA Mock Test - 10 - Question 28

What is the value of  where n ∈ N ?

NDA Mock Test - 10 - Question 29

If x = (1 1 0 1)2 and y = (1 1 0)2, then what is the value of x2 – y2?

NDA Mock Test - 10 - Question 30

If (1 0 x 0 1 0)2 (1 1 y 1)2 = (1 0 z 1 1)2, then what are the possible values of the binary digits x, y, z respectively? 

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