PYQ Vault
EbooksTutor

Day 154: JEE Mains Maths

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

  1. Question 1

    Quadratic Equations. Asked once: 31 Jan 2024 (same type asked 5 times) See all 5 of this type

    80
    Let SS be the set of positive integral values of a for which ax2+2(a+1)x+9a+4x2−8x+32<0,∀x∈R\frac{ax^{2}+ 2(a + 1)x + 9a + 4}{x^{2}- 8x + 32}< 0,\forall x \in\mathbb{R}. Then, the number of elements in SS is:

    Tap an option to check your answer.

  2. Question 2

    Complex Numbers. Asked once: 11 Apr 2023 (same type asked 5 times) See all 5 of this type

    68
    Let w1w_{1} be the point obtained by the rotation of z1=5+4iz_{1}= 5 + 4i about the origin through a right angle in the anticlockwise direction, and w2w_{2} be the point obtained by the rotation of z2=3+5iz_{2}= 3 + 5i about the origin through a right angle in the clockwise direction. Then the principal argument of w1−w2w_{1}-w_{2} is equal to

    Tap an option to check your answer.

  3. Question 3

    Relations and Functions. Asked once: 24 Jan 2025 (same type asked 5 times) See all 5 of this type

    55
    Let f(x)=2x+2+1622x+1+2x+4+32f(x) =\frac{2^{x + 2}+ 16}{2^{2x + 1}+2^{x + 4}+ 32}. Then the value 8(f(115)+f(215)+…+f(5915))8\left( f\left( \frac{1}{15} \right)+ f\left( \frac{2}{15} \right)+ \ldots + f\left( \frac{59}{15} \right) \right) is equal to

    Tap an option to check your answer.

  4. Question 4

    Differentiation. Asked once: 6 Apr 2023 (same type asked 5 times) See all 5 of this type

    81
    Let a∈Za \in Z and [t] be the greatest integer ≤t\leq t. Then the number of points, where the function f(x)=[af(x) = \lbrack a +13sin⁡x],x∈(0,π)+ 13\sin x\rbrack,x \in (0,\pi) is not differentiable, is

  5. Question 5

    Permutations and Combinations. Asked once: 31 Jan 2023 (same type asked 5 times) See all 5 of this type

    83
    Number of 4-digit numbers that are less than or equal to 2800 and either divisible by 3 or by 11 , is equal to