PYQ Vault
EbooksTutor

Day 337: MHT-CET Maths

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

  1. Question 1

    Line and Plane. Asked once: 23 Apr 2025 S1 (same type asked 7 times) See all 7 of this type

    132
    The equation of the line passing through the point of intersection of x−12=y−23=z−34\frac{x- 1}{2}=\frac{y- 2}{3}=\frac{z- 3}{4} and x−45=y−12=z\frac{x- 4}{5}=\frac{y- 1}{2}=z and also through the point ( 2,1,−22,1, - 2 ) is

    Tap an option to check your answer.

  2. Question 2

    Trigonometric Functions. Asked once: 26 Apr 2025 S2 (same type asked 7 times) See all 7 of this type

    147
    If y=tan⁡−1(11+x+x2)+tan⁡−1(1x2+3x+3)+tan⁡−1(1x2+5x+7)y=\tan^{- 1}\left( \frac{1}{1 +x+x^{2}} \right)+\tan^{- 1}\left( \frac{1}{x^{2}+ 3x+ 3} \right)+\tan^{- 1}\left( \frac{1}{x^{2}+ 5x+ 7} \right) then the value of y′(0)y^{'}(0) is

    Tap an option to check your answer.

  3. Question 3

    Trigonometric Functions. Asked once: 11 Apr 2026 S2 (same type asked 7 times) See all 7 of this type

    55
    The general solution of cos⁡4θ=cos⁡3θ\cos 4\theta = \cos 3\theta is θ=\theta =.....

    Tap an option to check your answer.

  4. Question 4

    Line and Plane. Asked once: 10 May 2024 S2 (same type asked 7 times) See all 7 of this type

    126
    The perpendicular distance of the origin from the plane x−3y+4z−6=0x-3y+4z-6=0 is

    Tap an option to check your answer.

  5. Question 5

    Differential Equations. Asked once: 16 Apr 2026 S1 (same type asked 7 times) See all 7 of this type

    82
    The degree of the differential equation obtained from the equation (y−a)2=4(x−b)(y - a)^2 = 4(x - b) [where aa and b are arbitrary constants] is

    Tap an option to check your answer.