PYQ Vault
EbooksTutor

Day 168: MHT-CET Maths

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

  1. Question 1

    Circle. This type asked 2 times: 11 May 2023 S1, 16 May 2023 S2. This one: 16 May 2023 S2 See all 2 of this type

    135
    One end of the diameter of the circle x2+y2−6x−5y−1=0x^2+y^2-6x-5y-1=0 is (−1,3)(-1,3), then the equation of the tangent at the other end of the diameter is

    Tap an option to check your answer.

  2. Question 2

    Trigonometric Functions. This type asked 2 times: 9 May 2023 S2, 15 May 2023 S1. This one: 15 May 2023 S1 See all 2 of this type

    141
    If the equation cos⁡4θ+sin⁡4θ+λ=0\cos^{4}\theta+\sin^{4}\theta+\lambda=0 has real solutions for θ\theta, then λ\lambda lies in the interval

    Tap an option to check your answer.

  3. Question 3

    Complex Numbers. This type asked 2 times: 10 May 2023 S2, 11 May 2023 S2. This one: 11 May 2023 S2 See all 2 of this type

    143
    Let ω=−12+i32, i=−1\omega = -\frac{1}{2}+i\frac{\sqrt{3}}{2},\ i=\sqrt{-1}, then the value of ∣1111−1−ω2ω21ω2ω4∣\begin{vmatrix}1&1&1\\1&-1-\omega^2&\omega^2\\1&\omega^2&\omega^4\end{vmatrix} is

    Tap an option to check your answer.

  4. Question 4

    Permutations and Combinations. This type asked 2 times: May 2021 S1, 11 May 2023 S2. This one: 11 May 2023 S2 See all 2 of this type

    101
    The number of arrangements, of the letters of the word MANAMA in which two M's do not appear adjacent, is

    Tap an option to check your answer.

  5. Question 5

    Straight Line. This type asked 2 times: 3 May 2023 S1, 10 May 2023 S1. This one: 10 May 2023 S1 See all 2 of this type

    105
    Let a line intersect the co-ordinate axes in points A and B such that the area of the triangle OAB is 12 sq. units. If the line passes through the point (2,3), then the equation of the line is

    Tap an option to check your answer.