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If A = [cos²θ 2sinθcosθ 0 0 cos²θ 2sinθcosθ 0 0 cos²θ], then which of the following statements is/are correct ? 1. A^-1 = adjA 2.A is a…
NDA Mathematics 2024
NDA 2024
Mathematics
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For x ≥ y > 1, let logₓ(x/y) + logᵧ(y/x) = k Then the value of k can never be…
NDA Mathematics 2024
NDA 2024
Mathematics
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What is the number of solutions of log₄(x – 1) = log₂(x – 3)?
NDA Mathematics 2024
NDA 2024
Mathematics
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If a, b, c are in A.P.; b, c, d are in G.P.; c, d, e are in H.P., then…
NDA Mathematics 2024
NDA 2024
Mathematics
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If a, b, c are the sides of triangle ABC, then what is | a² b sin A c sin A ||…
NDA Mathematics 2024
NDA 2024
Mathematics
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For any three non-empty sets A, B, C, what is (A ∪ B) – {(A – B) ∪ (B –…
NDA Mathematics 2024
NDA 2024
Mathematics
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Let R be a relation on the open interval (-1, 1) and is given by R = {(x, y) :…
NDA Mathematics 2024
NDA 2024
Mathematics
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Let A = {x ∈ R: -1<x<1}. Which of the following is/are bijective functions from A to itself? 1. f(x)…
NDA Mathematics 2024
NDA 2024
Mathematics
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What is the number of different matrices, each having 4 entries that can be formed using 1, 2, 3, 4…
NDA Mathematics 2024
NDA 2024
Mathematics
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If ABC is a triangle, then what is the value of the determinant | cosC sinB 0 || tanA 0 sinB || 0 tan(B+C) cosC |
NDA Mathematics 2024
NDA 2024
Mathematics
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For what value of n is the determinant for every m> n?
NDA Mathematics 2024
NDA 2024
Mathematics
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What is the remainder when 2¹²⁰ is divided by 7?
NDA Mathematics 2024
NDA 2024
Mathematics
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Four digit numbers are formed by using the digits 1, 2, 3, 5 without repetition of digits. How many of…
NDA Mathematics 2024
NDA 2024
Mathematics
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Consider the following statements in respect of a skew-symmetric matrix A of order 3: 1.All diagonals = 0 2.Sum of…
NDA Mathematics 2024
NDA 2024
Mathematics
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If ω ≠ 1 is a cube root of unity, then what are the solutions of (z – 100)³ +…
NDA Mathematics 2024
NDA 2024
Mathematics
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How many four-digit natural numbers are there such that all of the digits are even?
NDA Mathematics 2024
NDA 2024
Mathematics
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Consider the following statements in respect of a non-singular matrix A of order n: 1.A(adjAᵀ) = A(adjA)ᵀ 2.If A² =…
NDA Mathematics 2024
NDA 2024
Mathematics
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Consider the following statements in respect of two non-singular matrices A and B of the same order n: 1.adj(AB) =…
NDA Mathematics 2024
NDA 2024