PYQ Vault

Day 383: NDA Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Trigonometric Identities. Asked once: NDA 1 2018

    38
    What is sin⁡105°+cos⁡105°\sin 105° + \cos 105° equal to?

    Tap an option to check your answer.

  2. Question 2

    Matrices & Determinants. Asked once: NDA 2 2018

    34
    If A, B and C are the angles of a triangle and ∣1111+sin⁡A1+sin⁡B1+sin⁡Csin⁡A+sin⁡2Asin⁡B+sin⁡2Bsin⁡C+sin⁡2C∣=0\begin{vmatrix} 1 & 1 & 1 \\ 1+\sin A & 1+\sin B & 1+\sin C \\ \sin A+\sin^2 A & \sin B+\sin^2 B & \sin C+\sin^2 C \end{vmatrix} = 0, then which one of the following is correct?

    Tap an option to check your answer.

  3. Question 3

    Probability. Asked once: NDA 1 2018

    102
    Which of the following probability statements are correct? 1. P(Aˉ∪B)=P(Aˉ)+P(B)−P(Aˉ∩B)P(\bar{A}\cup B) = P(\bar{A})+P(B)-P(\bar{A}\cap B) 2. P(A∩Bˉ)=P(B)−P(A∩B)P(A\cap\bar{B}) = P(B)-P(A\cap B) 3. P(A∩B)=P(B) P(A∣B)P(A\cap B) = P(B)\,P(A\mid B)

    Tap an option to check your answer.

  4. Question 4

    Trigonometric Identities. Asked once: NDA 1 2018

    48
    Suppose cos⁡A\cos A is given. If only one value of cos⁡(A/2)\cos(A/2) is possible, then A must be

    Tap an option to check your answer.

  5. Question 5

    Matrices & Determinants. Asked once: NDA 2 2018

    4
    A square matrix A is called orthogonal if (where A' is the transpose of A)

    Tap an option to check your answer.