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Day 185: NDA Maths

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

  1. Question 1

    Differentiation. Asked once: NDA 2 2018 (same type asked 4 times)

    77
    If y=tan⁡−1(5−2tan⁡x2+5tan⁡x)y=\tan^{-1}\left(\frac{5-2\tan\sqrt{x}}{2+5\tan\sqrt{x}}\right), then what is dydx\frac{dy}{dx} equal to?

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  2. Question 2

    Trigonometric Equations. Asked once: NDA 1 2019 (same type asked 4 times)

    46
    If the roots of the equation x2+px+q=0x^2 + px + q = 0 are tan⁡19°\tan19° and tan⁡26°\tan26°, then which one of the following is correct?

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  3. Question 3

    Limits & Continuity. Asked once: NDA 2 2018 (same type asked 4 times)

    75
    If the function f(x)=2x−sin⁡−1x2x+tan⁡−1xf(x)=\frac{2x-\sin^{-1}x}{2x+\tan^{-1}x} is continuous at each point in its domain, then what is the value of f(0)?

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  4. Question 4

    Quadratic Equations. Asked once: NDA 1 2018 (same type asked 4 times)

    16
    The equation ∣1−x∣+x2=5|1-x| + x^2 = 5 has

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  5. Question 5

    Complex Numbers. Asked once: NDA 2 2019 (same type asked 3 times)

    21
    If x=1+ix = 1 + i, then what is the value of x6+x4+x2+1x^{6} + x^{4} + x^{2} + 1 ?

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