PYQ Vault
EbooksTutor

Day 311: MHT-CET Maths

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

  1. Question 1

    Probability Distribution. Asked once: 21 Apr 2025 S1 (same type asked 3 times) See all 3 of this type

    137
    The probability that in a random arrangement of the letters of the word 'UNIVERSITY', the two 'I' s do not come together is

    Tap an option to check your answer.

  2. Question 2

    Definite Integration. Asked once: 19 Apr 2025 S1 (same type asked 3 times) See all 3 of this type

    124
    ∫1eexx(1+xlogx)dx=\int_{1}^{e} \frac{e^{x}}{x}(1 +xlogx)dx=

    Tap an option to check your answer.

  3. Question 3

    Straight Line. Asked once: May 2022 S1 (same type asked 3 times) See all 3 of this type

    142
    The equations of the lines passing through the point (3,2)(3, 2) and making an acute angle of 45° with the line x−2y−3=0x - 2y - 3 = 0 are

    Tap an option to check your answer.

  4. Question 4

    Complex Numbers. Asked once: 19 Apr 2026 S1 (same type asked 3 times) See all 3 of this type

    52
    The smallest positive integer nn for which (1+i)n(1−i)n−2\dfrac{(1 + i)^n}{(1 - i)^{n-2}} is a real number, is ...

    Tap an option to check your answer.

  5. Question 5

    Conic Sections. Asked once: 15 May 2023 S1 (same type asked 3 times) See all 3 of this type

    142
    The equation of the tangent to the parabola y2=8xy^{2}=8x, which is parallel to the line 4x−y+3=04x-y+3=0 is

    Tap an option to check your answer.