PYQ Vault
EbooksTutor

Day 349: MHT-CET Maths

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

  1. Question 1

    Limits. Asked once: 20 Apr 2025 S2 (same type asked 5 times) See all 5 of this type

    137
    f(x)={[x2]−[−x2],x≠3k,x=3f(x) =\left\{ \begin{matrix} \left\lbrack x^{2} \right\rbrack-\left\lbrack -x^{2} \right\rbrack, & x\neq 3 \\ k & ,x= 3 \end{matrix} \right. is continuous at x=3x= 3, then k=k = where [⋅]\lbrack \cdot \rbrack is greatest integer function

    Tap an option to check your answer.

  2. Question 2

    Trigonometric Functions. Asked once: 10 May 2023 S1 (same type asked 5 times) See all 5 of this type

    127
    The value of tan⁡−1 ⁣(tan⁡7π6)\tan^{-1}\!\left(\tan\frac{7\pi}{6}\right) is

    Tap an option to check your answer.

  3. Question 3

    Applications of Derivative. Asked once: 11 May 2023 S1 (same type asked 5 times) See all 5 of this type

    150
    The distance 's' in meters covered by a body in t seconds is given by s=3t2−8t+5s = 3t^2 - 8t + 5. The body will stop after

    Tap an option to check your answer.

  4. Question 4

    Differential Equations. Asked once: 4 May 2023 S1 (same type asked 5 times) See all 5 of this type

    143
    Given that the slope of the tangent to a curve y=y(x)y=y(x) at any point (x,y)(x,y) is 2yx2\frac{2y}{x^2}. If the curve passes through the centre of the circle x2+y2−2x−2y=0x^2+y^2-2x-2y=0, then its equation is

    Tap an option to check your answer.

  5. Question 5

    Line and Plane. Asked once: 15 May 2023 S1 (same type asked 5 times) See all 5 of this type

    143
    The centroid of tetrahedron with vertices P(5,-7,0), Q(a,5,3), R(4,-6,b) and S(6,c,2) is (4,-3,2), then the value of 2a+3b+c2a+3b+c is equal to

    Tap an option to check your answer.