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Day 53: MHT-CET Maths

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

  1. Question 1

    Vectors. This type asked 4 times: 2 May 2023 S2, 4 May 2023 S2, 13 May 2024 S2, 15 May 2026 S1. This one: 15 May 2026 S1 See all 4 of this type

    96
    The Incenter of the triangle whose vertices are A(0,3,0)A(0, 3, 0), B(0,0,4)B(0, 0, 4), and C(0,3,4)C(0, 3, 4) is;

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  2. Question 2

    Complex Numbers. This type asked 4 times: 9 May 2024 S1, 19 Apr 2026 S2, 20 Apr 2026 S2, 14 May 2026 S2. This one: 14 May 2026 S2 See all 4 of this type

    54
    The value of ∑n=14(in+in+1)\displaystyle\sum_{n=1}^{4}\left(i^n + i^{n+1}\right) is

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  3. Question 3

    Linear Programming. This type asked 4 times: 2 May 2023 S1, 11 Apr 2026 S1, 16 Apr 2026 S2, 14 May 2026 S2. This one: 14 May 2026 S2 See all 4 of this type

    98
    The point at which the maximum value of 3x+2y3x + 2y subject to the constraints x+y≤2,x≥0,y≥0x + y \le 2, x \ge 0, y \ge 0 is obtained is

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  4. Question 4

    Pair of Straight Lines. This type asked 4 times: 9 May 2024 S2, 19 Apr 2026 S2, 20 Apr 2026 S2, 14 May 2026 S2. This one: 14 May 2026 S2 See all 4 of this type

    60
    If the sum of the cubes of slopes of two lines represented by the equation ax2+2hxy+by2=0ax^2 + 2hxy + by^2 = 0 is 11, then

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  5. Question 5

    Straight Line. This type asked 4 times: 25 Apr 2025 S1, 13 Apr 2026 S2, 14 May 2026 S1, 14 May 2026 S2. This one: 14 May 2026 S2 See all 4 of this type

    59
    If P(2,7)P(2, 7) is the mid-point of a line segment intercepted between the co-ordinate axes, then the equation of line is

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