PYQ Vault
EbooksTutor

Day 261: MHT-CET Maths

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

  1. Question 1

    Mathematical Logic. Asked once: 2 May 2023 S2 (same type asked 2 times) See all 2 of this type

    150
    Which one of the following is the pair of equivalent circuits? (i) through (v) as given

    Tap an option to check your answer.

  2. Question 2

    Trigonometric Functions. Asked once: 15 May 2023 S1 (same type asked 2 times) See all 2 of this type

    137
    Let a,b,ca, b, c be three non-zero real numbers such that the equation 3 acos⁡x+2bsin⁡x=c\sqrt{3}\,a\cos x + 2b\sin x = c, x∈[−π/2,π/2]x \in [-\pi/2, \pi/2], has two distinct real roots α\alpha and β\beta with α+β=π/3\alpha + \beta = \pi/3. Then the value of b/ab/a is

    Tap an option to check your answer.

  3. Question 3

    Measures of Dispersion. Asked once: 16 May 2023 S1 (same type asked 2 times) See all 2 of this type

    108
    If the sum of the deviations of 50 observations from 30 is 50, then the mean of these observations is

    Tap an option to check your answer.

  4. Question 4

    Straight Line. Asked once: May 2021 S1 (same type asked 2 times) See all 2 of this type

    105
    The three straight lines ax+by=cax+by=c, bx+cy=abx+cy=a and cx+ay=bcx+ay=b are collinear if

    Tap an option to check your answer.

  5. Question 5

    Line and Plane. Asked once: 9 May 2024 S1 (same type asked 2 times) See all 2 of this type

    112
    A vector n⃗\vec{n} is inclined to X-axis at 45∘45^\circ, Y-axis at 60∘60^\circ and at an acute angle to Z-axis. If n⃗\vec{n} is normal to a plane passing through the point (−2,1,1)(-\sqrt{2},1,1), then equation of the plane is

    Tap an option to check your answer.