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Below are the first 5 questions from the UPSC NDA 2023 (NDA 2) Mathematics paper. Practice each question below, check your answers, and read the step-by-step explanations written by our subject matter experts.
If z z̄ = |z + z̄|,
where z = x + iy and i = √(−1),
then the locus of z is a pair of:
If 1 ! + 3! + 5! + 7! + ,… + 199! is divided by 24,what is the remainder?
What is the value of
√(12 + 5i) + √(12 − 5i),
where i = √(−1) ?
If A, B and C are square matrices of order 3 and
det(BC) = 2 det(A),
then what is the value of
det(2A⁻¹BC) ?
If the nth term of a sequence is
(2n + 5)/7,
then what is the sum of its first 140 terms?
Let A be a skew-symmetric matrix of order 3.
What is the value of
det(4A⁴) − det(3A³) + det(2A²)
− det(A) + det(−I),
where I is the identity matrix of order 3?
1. A" will always be singular for any positive integer n.
2. A" will always be a diagonal matrix for anypositive integer n.
3. A" will always be a symmetric matrix for any positive integer n.
Select the correct answer using the code given below:
If (a + b), 2b, (b + c) are in HP, then which one of thefollowing is correct ?
Solve the Remaining 115 Questions!
The full NDA 2023 (NDA 2) Mathematics PYQ paper contains 120 questions. Practice all of them with timers, performance analytics, and immediate explanations on the SenaPrep App.
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