Mathematics Questions for NDA, CDS & CAPF: Quiz-4


Dear Students, Defence Adda is providing you all with this quiz on Mathematics questions for NDA, CDS, AFCAT, CAPF and other Police Examinations. The questions asked in Mathematics Section of most of the defence examinations are based on the topics from Mathematics of Class 11th and 12th. The questions asked in this section are complex and comparatively difficult but once attempted with high accuracy, can fetch you full marks in this section. Also, practice on a daily basis helps one dive into the core concepts of a subject and thus, help her perform to the best of her ability in the real examinations. So, attempt the daily quizzes being provided by Defence Adda and score to the maximum in Mathematics Section of all sorts of defence examinations.

Q1. What are the coordinates of the foot of the perpendicular drawn from the point (3, 5, 4) on the plane z = 0? 
(a) (0, 5, 4)
(b) (3, 5, 0)
(c) (3, 0, 4)
(d) (0, 0, 4)

Q2. Consider the following statements 
I. The function is discontinuous at x = 3. 
II. The function is not differentiable at x = 0. 
Which of the above statement(s) is/are correct? 
(a) Only I
(b) Only II
(c) Both I and II
(d) Neither I nor II

Q3. What does the equation represent? 
(a) It represents a circle of diameter a
(b) It represents a circle of radius a
(c) It represents a parabola
(d) None of the above



Q9. If the matrix AB is a zero matrix, then which one of the following is correct? 
(a) A must be equal to zero matrix or B must be equal to zero matrix
(b) A must be equal to zero matrix and B must be equal to zero matrix
(c) It is not necessary that either A is zero matrix or B is zero matrix
(d) None of the above

Q11. A, B, C and D are four sets such that A ∩ B = C ∩ D = ϕ. Consider the following 
I. A ∪ C and B ∪ D are always disjoint. 
II. A ∩ C and B ∩ D are always disjoint. 
Which of the above statement(s) is/are correct? 
(a) Only I
(b) Only II
(c) Both I and II
(d) Neither I nor II











                                                            SOLUTIONS


S1. Ans.(b)
Sol. The foot of perpendicular drawn from (3, 5, 4) on z = 0 is 
(x-3)/0=(y-5)/0=(z-4)/1=-4/1 
⇒ x = 3, y = 5, z = 0 
Hence, (x, y, z) = (3, 5, 0) 



















S7. Ans.(b)
Sol. The terms of x and y will remain the same as the two circles are concentric. The new constant λ = 0 as it passes through (–1, –2). By putting point (–1, –2) in the equation.





















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