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Day 147: NDA Maths

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

  1. Question 1

    Statistics. Asked once: NDA 1 2023 (same type asked 2 times)

    109
    A bivariate data set contains only two points (−1,1)(-1,1) and (3,2)(3,2). What will be the line of regression of yy on xx?

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  2. Question 2

    Trigonometric Identities. Asked once: NDA 1 2017 (same type asked 2 times)

    15
    If cot⁡α\cot\alpha and cot⁡β\cot\beta are the roots of the equation x2+bx+c=0x^2 + bx + c = 0 with b≠0b \neq 0, then the value of cot⁡(α+β)\cot(\alpha+\beta) is

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  3. Question 3

    Vectors. Asked once: NDA 2 2017 (same type asked 2 times)

    46
    If a^\hat{a} and b^\hat{b} are two unit vectors, then the vector (a^+b^)×(a^×b^)(\hat{a}+\hat{b})\times(\hat{a}\times\hat{b}) is parallel to

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  4. Question 4

    Vectors. Asked once: NDA 2 2017 (same type asked 2 times)

    48
    For any vector a⃗\vec{a}, ∣a⃗×i^∣2+∣a⃗×j^∣2+∣a⃗×k^∣2|\vec{a}\times\hat{i}|^2 + |\vec{a}\times\hat{j}|^2 + |\vec{a}\times\hat{k}|^2 is equal to

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  5. Question 5

    Binomial Theorem. Asked once: NDA 1 2021 (same type asked 2 times)

    4
    If C0,C1,C2,…,CnC_0, C_1, C_2, \ldots, C_n are the coefficients in the expansion of (1+x)n(1+x)^n, then what is the value of C1+C2+C3+⋯+CnC_1 + C_2 + C_3 + \cdots + C_n?

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