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Day 245: MHT-CET Maths

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

  1. Question 1

    Permutations and Combinations. Asked once: 10 May 2024 S2 (same type asked 2 times) See all 2 of this type

    135
    The value of 10Cr11Cr\dfrac{^{10}C_r}{^{11}C_r}, when both the numerator and denominator are at their greatest values, is

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  2. Question 2

    Permutations and Combinations. Asked once: 2 May 2023 S1 (same type asked 2 times) See all 2 of this type

    102
    If 3 books on Physics, 2 books on Chemistry and 4 books on Mathematics are to be arranged on a shelf so that all the Physics books are together and all the Mathematics books are together, then the number of such arrangements is

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  3. Question 3

    Straight Line. Asked once: 19 Apr 2026 S1 (same type asked 2 times) See all 2 of this type

    57
    A straight line L passes through the point of intersection of the lines x−y+1=0x - y + 1 = 0 and 2x+y−7=02x + y - 7 = 0. If L intersects the positive x-axis at A(a,0)A(a, 0) and the positive y-axis at B(0,b)B(0, b), then the minimum area of the triangle OABOAB (where OO is the origin) is ....

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  4. Question 4

    Vectors. Asked once: 19 Apr 2025 S1 (same type asked 2 times) See all 2 of this type

    127
    The volume of the tetrahedron whose co-terminus edges are aˉ,bˉ,cˉ\bar{a},\bar{b},\bar{c} is 12 cubic units. If the scalar projection of aˉ\bar{a} on bˉ×cˉ\bar{b}\times\bar{c} is 4, then ∣b‾×c‾∣=|\overline{b}\times\overline{c}| =

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  5. Question 5

    Vectors. Asked once: 12 May 2026 S2 (same type asked 2 times) See all 2 of this type

    96
    The ratio in which the point i^+2j^+3k^\hat{i} + 2\hat{j} + 3\hat{k} divides the line segment joining −2i^+3j^+5k^-2\hat{i} + 3\hat{j} + 5\hat{k} and 7i^−k^7\hat{i} - \hat{k} is....

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