PYQ Vault
EbooksTutor

Day 100: MHT-CET Maths

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

  1. Question 1

    Pair of Straight Lines. Asked 2 times: 11 May 2024 S2*, 14 May 2026 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    58
    The joint equation of pair of lines passing through origin and perpendicular to the lines given by 3x2+4xy−5y2=03x^2 + 4xy - 5y^2 = 0 is

    Tap an option to check your answer.

  2. Question 2

    Applications of Definite Integral. Asked 2 times: 20 Apr 2026 S1, 13 May 2026 S2 See all 2 times it was asked

    85
    The area between the curves y=1−∣x∣y = 1 - |x| and y=∣x∣−1y = |x| - 1 is ..... square units.

    Tap an option to check your answer.

  3. Question 3

    Determinants and Matrices. Asked 2 times: 18 Apr 2026 S1*, 13 May 2026 S2 (* = numbers or wording changed that year) See all 2 times it was asked

    69
    Let A=[2132]A = \begin{bmatrix} 2 & 1 \\ 3 & 2 \end{bmatrix} and B=[−1−111]B = \begin{bmatrix} -1 & -1 \\ 1 & 1 \end{bmatrix}. If the variables xx and yy satisfy the matrix equation (A−1+B)[xy]=[0−2](A^{-1} + B)\begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} 0 \\ -2 \end{bmatrix}, then the value of x+3yx + 3y is......

    Tap an option to check your answer.

  4. Question 4

    Straight Line. Asked 2 times: 12 May 2024 S1*, 13 May 2026 S2 (* = numbers or wording changed that year) See all 2 times it was asked

    59
    The points on the line x+y−4=0x + y - 4 = 0 which are at one unit distance from the line 4x+3y−10=04x + 3y - 10 = 0 are...

    Tap an option to check your answer.

  5. Question 5

    Conic Sections. Asked 2 times: 19 Apr 2025 S1, 13 May 2026 S1 See all 2 times it was asked

    61
    In an ellipse with semi-minor axis OB, S and S' are its foci, a>ba > b and ∠SBS′\angle SBS' is a right angle, then the eccentricity of the ellipse is..

    Tap an option to check your answer.