PYQ Vault
EbooksTutor

Day 199: MHT-CET Maths

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

  1. Question 1

    Indefinite Integration. Asked once: 17 Apr 2026 S2 (same type asked 5 times) See all 5 of this type

    79
    If ∫3x+7x2−3x+2 dx=mlog⁡(x−2x−1)+nlog⁡(x−2)+c\displaystyle\int\dfrac{3x + 7}{x^2 - 3x + 2}\,dx = m\log\left(\dfrac{x - 2}{x - 1}\right) + n\log(x - 2) + c, where m,n∈Rm, n \in R and c is an integration constant, then m+n=m + n =

    Tap an option to check your answer.

  2. Question 2

    Line and Plane. Asked once: 16 Apr 2026 S2 (same type asked 5 times) See all 5 of this type

    93
    If the lines 2x=ky=−z2x = ky = -z and 6x=−y=−4z6x = -y = -4z are perpendicular to each other then the value of kk is ...

    Tap an option to check your answer.

  3. Question 3

    Trigonometric Functions. Asked once: 16 Apr 2026 S1 (same type asked 5 times) See all 5 of this type

    63
    In a triangle ABC, with usual notations a=3+1,b=3−1a = \sqrt{3} + 1, b = \sqrt{3} - 1 and ∠C=60∘\angle C = 60^\circ then the values of ∠A\angle A and ∠B\angle B respectively are

    Tap an option to check your answer.

  4. Question 4

    Differentiation. Asked once: 20 Apr 2026 S2 (same type asked 5 times) See all 5 of this type

    72
    If xy+yx=6\sqrt{\dfrac{x}{y}} + \sqrt{\dfrac{y}{x}} = 6, then dydx=\dfrac{dy}{dx} =

    Tap an option to check your answer.

  5. Question 5

    Applications of Definite Integral. Asked once: 12 May 2026 S1 (same type asked 5 times) See all 5 of this type

    84
    The parabolas y2=4xy^2 = 4x and x2=4yx^2 = 4y divide the square region bounded by the lines x=4,y=4x = 4, y = 4 and the coordinate axes. If A1,A2,A3A1, A2, A3 are respectively the areas of these parts numbered from top to bottom, then A1:A2:A3A1 : A2 : A3 is ...

    Tap an option to check your answer.