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Day 302: MHT-CET Maths

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

  1. Question 1

    Vectors. Asked once: 16 Apr 2026 S2 (same type asked 4 times) See all 4 of this type

    92
    The volume of a parallelopiped with coterminous edges aˉ,bˉ,cˉ\bar{a}, \bar{b}, \bar{c} is 3 cubic units. The volume (in cubic units) of a tetrahedron with coterminous edges (aˉ×bˉ),(aˉ×2cˉ),(bˉ×2cˉ)(\bar{a} \times \bar{b}), (\bar{a} \times 2\bar{c}), (\bar{b} \times 2\bar{c}) is...

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  2. Question 2

    Permutations and Combinations. Asked once: 12 May 2024 S1 (same type asked 4 times) See all 4 of this type

    127
    If TnT_n denotes the number of triangles which can be formed using the vertices of regular polygon of nn sides and Tn+1−Tn=21T_{n+1}-T_n=21, then n=n=

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  3. Question 3

    Circle. Asked once: 3 May 2023 S2 (same type asked 4 times) See all 4 of this type

    127
    The tangent to the circle x2+y2=5x^{2}+y^{2}=5 at (1,−2)(1,-2) also touches the circle x2+y2−8x+6y+20=0x^{2}+y^{2}-8x+6y+20=0 then the co-ordinates of the corresponding point of contact is

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  4. Question 4

    Indefinite Integration. Asked once: 9 May 2024 S2 (same type asked 4 times) See all 4 of this type

    109
    If f′(x)=x−5x5f'(x) = x - \dfrac{5}{x^5} and f(1)=4f(1) = 4, then f(x)f(x) is

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  5. Question 5

    Mathematical Logic. Asked once: 12 May 2026 S1 (same type asked 4 times) See all 4 of this type

    65
    The dual statement of "x=1x = 1 only if x2=xx^2 = x" is

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