PYQ Vault
EbooksTutor

Day 256: JEE Mains Maths

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

  1. Question 1

    Application of Derivatives. Asked once: 25 Jul 2022 (same type asked 5 times) See all 5 of this type

    174
    The sum of the maximum and minimum values of the function f(x)=∣5x−7∣+[x2+2x]f(x) = |5x - 7| +\left\lbrack x^{2}+ 2x \right\rbrack in the interval [54,2]\left\lbrack \frac{5}{4},2 \right\rbrack, where [t]\lbrack t\rbrack is the greatest integer ≤t\leq t is

  2. Question 2

    Three Dimensional Geometry. Asked once: 14 Jun 2022 (same type asked 5 times) See all 5 of this type

    165
    Let the points on the plane PP be equidistant from the points (−4,2,1)( - 4,2,1) and (2,−2,3)(2, - 2,3). Then the acute angle between the plane PP and the plane 2x+y+2x + y + 3z=13z = 1 is

    Tap an option to check your answer.

  3. Question 3

    Quadratic Equations. Asked once: 27 Jun 2022 (same type asked 5 times) See all 5 of this type

    172
    Let α,β\alpha,\beta be the roots of the equation x2−4λx+5=0x^{2}- 4\lambda x + 5 = 0 and α,γ\alpha,\gamma be the roots of the equation x2−(32+23)x+7+3λ3=0x^{2}- (3\sqrt{2}+ 2\sqrt{3})x + 7 + 3\lambda\sqrt{3}= 0. If β+γ=32\beta + \gamma = 3\sqrt{2}, then (α+2β+γ)2(\alpha + 2\beta + \gamma)^{2} is equal to:

  4. Question 4

    Permutations and Combinations. Asked once: 10 Apr 2023 (same type asked 4 times) See all 4 of this type

    152
    Eight persons are to be transported from city A to city B in three cars of different makes. If each car can accommodate at most three persons, then the number of ways, in which they can be transported, is:

    Tap an option to check your answer.

  5. Question 5

    Complex Numbers. Asked once: 29 Jan 2024 (same type asked 4 times) See all 4 of this type

    83
    Let α,β\alpha,\beta be the roots of the equation x2−x+2=0x^{2}- x + 2 = 0 with Im(α)>Im(β)Im(\alpha) > Im(\beta). Then α6+α4+β4−5α2\alpha^{6}+\alpha^{4}+\beta^{4}- 5\alpha^{2} is equal to