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Day 231: MHT-CET Maths

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

  1. Question 1

    Sets, Relations and Functions. Asked once: 13 Apr 2026 S2 (same type asked 3 times) See all 3 of this type

    69
    If g(x)g(x) is the inverse function of f(x)f(x), where f(x)=5x+34x−1f(x) = \dfrac{5x + 3}{4x - 1}, then g(1)=g(1) =

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  2. Question 2

    Line and Plane. Asked once: 21 Apr 2025 S2 (same type asked 3 times) See all 3 of this type

    125
    The volume of the tetrahedron whose coterminous edges are represented by a‾=−12i^+pk^,b‾=3j^,−k^,c‾=2i^+j^−15k^\overline{a}= - 12\widehat{i}+ p\widehat{k},\overline{b}= 3\widehat{j}, -\widehat{k},\overline{c}= 2\widehat{i}+\widehat{j}- 15\widehat{k} is 570 cu. units, then p=p =

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  3. Question 3

    Line and Plane. Asked once: 11 Apr 2026 S1 (same type asked 3 times) See all 3 of this type

    96
    A plane meets the coordinate axes at points A, B and C, such that the centroid of a triangle ABC is (2,−23,12)\left(2, -\dfrac{2}{3}, \dfrac{1}{2}\right). The perpendicular distance from the origin to this plane is...

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  4. Question 4

    Differentiation. Asked once: 15 Apr 2026 S2 (same type asked 3 times) See all 3 of this type

    73
    If ey+xy=ee^y + xy = e, then the ordered pair (dydx,d2ydx2)\left(\dfrac{dy}{dx}, \dfrac{d^2y}{dx^2}\right) at x=0x = 0 is equal to

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  5. Question 5

    Line and Plane. Asked once: 26 Apr 2025 S2 (same type asked 3 times) See all 3 of this type

    143
    The direction cosines of a normal to the plane passing through (4,2,3),(−1,4,2)(4,2,3),( - 1,4,2) and (3,2,1)(3,2,1) are... .

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