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Day 163: NDA Maths

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

  1. Question 1

    Properties of Triangle. Asked once: NDA 1 2018 (same type asked 2 times)

    39
    In triangle ABC if a=2a=2, b=3b=3 and sin⁡A=2/3\sin A = 2/3, then what is angle B?

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  2. Question 2

    Sets & Relations. Asked once: NDA 2 2018 (same type asked 2 times)

    5
    If A, B and C are subsets of a Universal set, then which one of the following is not\textbf{\text{not}} correct? (where A' is the complement of A)

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  3. Question 3

    Sets & Relations. Asked once: NDA 2 2019 (same type asked 2 times)

    28
    Let A∪B={x∣(x−a)(x−b)>0,A \cup B = \{x \mid (x-a)(x-b) > 0, where a<b}a < b\}. What are AA and BB equal to ?

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  4. Question 4

    Statistics. Asked once: NDA 1 2018 (same type asked 2 times)

    107
    If 4x-5y+33=0 and 20x-9y=107 are regression lines, then x-bar and y-bar are respectively?

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  5. Question 5

    3D Geometry. Asked once: NDA 2 2018 (same type asked 2 times)

    59
    Consider the following statements: 1. The angle between the planes 2x−y+z=12x-y+z=1 and x+y+2z=3x+y+2z=3 is π3\frac{\pi}{3}. 2. The distance between the planes 6x−3y+6z+2=06x-3y+6z+2=0 and 2x−y+2z+4=02x-y+2z+4=0 is 109\frac{10}{9}. Which of the above statements is/are correct?

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