PYQ Vault

Day 206: MHT-CET Maths

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

  1. Question 1

    Pair of Straight Lines. Asked once: 23 Apr 2025 S1 (same type asked 5 times) See all 5 of this type

    104
    The joint equation of two lines passing through (−2,3)( - 2,3) and parallel to the bisectors of the angle between the co-ordinate axes is

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  2. Question 2

    Differentiation. Asked once: 25 Apr 2025 S1 (same type asked 5 times) See all 5 of this type

    149
    If y=log⁡3(log⁡3x)y=\log_{3}\left( \log_{3}x \right) then dy dx\frac{dy}{\text{ }dx} at x=3x= 3 i

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  3. Question 3

    Circle. Asked once: 4 May 2023 S2 (same type asked 5 times) See all 5 of this type

    146
    The equation of the circle which passes through the centre of the circle x2+y2+8x+10y−7=0x^2+y^2+8x+10y-7=0 and concentric with the circle 2x2+2y2−8x−12y−9=02x^2+2y^2-8x-12y-9=0 is

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  4. Question 4

    Line and Plane. Asked once: 12 May 2024 S1 (same type asked 5 times) See all 5 of this type

    102
    The centroid of tetrahedron with vertices at A(−1,2,3)A(-1,2,3), B(3,−2,1)B(3,-2,1), C(2,1,3)C(2,1,3) and D(−1,−2,4)D(-1,-2,4) is

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  5. Question 5

    Vectors. Asked once: 19 Apr 2025 S1 (same type asked 5 times) See all 5 of this type

    129
    If the points A(2−x,2,2),B(2,2−y,2)A(2 -x,2,2),B(2,2 -y,2), C(2,2,2−z)C(2,2,2 - z) and D(1,1,1)D(1,1,1) are coplanar, then the locus of point P(x,y,z)P(x,y,z) is

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