PYQ Vault
EbooksTutor

Day 352: JEE Mains Maths

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

  1. Question 1

    Complex Numbers. Asked once: 2021 Paper 25 (same type asked 5 times) See all 5 of this type

    89
    The sum of 162th 162^{\text{th~}} power of the roots of the equation x3−2x2+2x−1=0x^{3}- 2x^{2}+ 2x- 1 = 0 is

  2. Question 2

    Trigonometric Identities. Asked once: 2021 Paper 22 (same type asked 5 times) See all 5 of this type

    72
    csc⁡18∘\csc18^{\circ} is a root of the equation :

    Tap an option to check your answer.

  3. Question 3

    Complex Numbers. Asked once: 2021 Paper 23 (same type asked 5 times) See all 5 of this type

    74
    If zz is a complex number such that z−iz−1\frac{z - i}{z - 1} is purely imaginary, then the minimum value of ∣z−(3+3i)∣|z- (3 + 3i)| is :

    Tap an option to check your answer.

  4. Question 4

    Matrices. Asked once: 2021 Paper 10 (same type asked 5 times) See all 5 of this type

    82
    Let I be an identity matrix of order 2×22 \times 2 and P=[2−15−3]P =\begin{bmatrix} 2 & - 1 \\ 5 & - 3 \end{bmatrix}. Then the value of n∈Nn \in N for which Pn=5I−8PP^{n}= 5I - 8P is equal to

  5. Question 5

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

    68
    The sum of the first 20 terms of the series 5+11+5 + 11 + 19+29+41+…19 + 29 + 41 + \ldots is

    Tap an option to check your answer.