PYQ Vault
EbooksTutor

Day 142: NDA Maths

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

  1. Question 1

    3D Geometry. Asked once: NDA 2 2024 (same type asked 2 times)

    Let SS be the line of intersection of two planes x+y+z=1x+y+z=1 and 2x+3y−4z=82x+3y-4z=8.
    68
    If (l,m,n)(l, m, n) are the direction cosines of SS, then what is the value of 43(l2−m2−n2)43(l^2 - m^2 - n^2)?

    Tap an option to check your answer.

  2. Question 2

    3D Geometry. Asked once: NDA 1 2024 (same type asked 2 times)

    55
    A line through (1,−1,2)(1,-1,2) with direction ratios ⟨3,2,2⟩\langle3,2,2\rangle meets the plane x+2y+3z=18x+2y+3z=18. What is the point of intersection?

    Tap an option to check your answer.

  3. Question 3

    Applications of Integration. Asked once: NDA 1 2022 (same type asked 2 times)

    60
    The area of the region bounded by the parabola y2=4kxy^2=4kx, where k>0k>0 and its latus rectum is 24 square units. What is the value of kk?

    Tap an option to check your answer.

  4. Question 4

    Binomial Theorem. Asked once: NDA 1 2024 (same type asked 2 times)

    18
    What is the remainder when 21202^{120} is divided by 7?

    Tap an option to check your answer.

  5. Question 5

    Differential Equations. Asked once: NDA 1 2017 (same type asked 2 times)

    88
    What is the general solution of the differential equation y dx−(x+2y2) dy=0y\,dx-(x+2y^2)\,dy=0?

    Tap an option to check your answer.