PYQ Vault
EbooksTutor

Day 68: NDA Maths

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

  1. Question 1

    Binomial Theorem. This type asked 2 times: NDA 1 2017, NDA 1 2024. This one: NDA 1 2024

    34
    In a binomial expansion of (x+y)2n+1(x−y)2n+1(x+y)^{2n+1}(x-y)^{2n+1}, the sum of middle terms is zero. What is the value of x2y2\dfrac{x^2}{y^2}?

    Tap an option to check your answer.

  2. Question 2

    Circles. This type asked 2 times: NDA 1 2021, NDA 1 2024. This one: NDA 1 2024

    51
    If (a,b)(a,b) is the centre and cc is the radius of the circle x2+y2+2x+6y+1=0x^2+y^2+2x+6y+1=0, then what is the value of a2+b2+c2a^2+b^2+c^2?

    Tap an option to check your answer.

  3. Question 3

    Conics. This type asked 2 times: NDA 2 2019, NDA 1 2024. This one: NDA 1 2024

    65
    What is the eccentricity of the ellipse if the angle between the straight lines joining the foci to an extremity of the minor axis is 90°90°?

    Tap an option to check your answer.

  4. Question 4

    Functions. This type asked 2 times: NDA 1 2018, NDA 1 2024. This one: NDA 1 2024

    80
    Which one of the following is correct in respect of f(x)=1∣x∣−xf(x)=\dfrac{1}{|x|-x} and g(x)=1x−∣x∣g(x)=\dfrac{1}{x-|x|}?

    Tap an option to check your answer.

  5. Question 5

    Lines. This type asked 2 times: NDA 1 2022, NDA 1 2024. This one: NDA 1 2024

    58
    If a variable line passes through the point of intersection of the lines x+2y−1=0x+2y-1=0 and 2x−y−1=02x-y-1=0 and meets the coordinate axes at AA and BB, then what is the locus of the mid-point of ABAB?

    Tap an option to check your answer.