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Day 457: MHT-CET Maths

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

  1. Question 1

    Permutations and Combinations. Asked once: 25 Apr 2025 S2

    137
    There are 11 points in a plane of which 5 points are collinear. Then the total number of distinct quadrilaterals with vertices at these points is

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  2. Question 2

    Probability Distribution. Asked once: 17 Apr 2026 S2

    100
    Three numbers are chosen from 1 to 30. The probability that minimum is 10 and maximum is 26 is ______

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  3. Question 3

    Sets, Relations and Functions. Asked once: 15 Apr 2026 S2

    51
    If xx, y, z are the sides of a right angled triangle, where z is the largest side, then 1log⁡x+zy+1log⁡z−xy=\dfrac{1}{\log_{x+z}y} + \dfrac{1}{\log_{z-x}y} =

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  4. Question 4

    Straight Line. Asked once: 25 Apr 2025 S2

    149
    The straight line passing through (−3,6)( - 3,6) and midpoint of the line segment joining the points (4,−5)(4, - 5) and (−2,9- 2,9) have inclination

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  5. Question 5

    Trigonometric Functions. Asked once: 13 May 2026 S2

    55
    If in a triangle ABCABC, cos⁡Aa=cos⁡Bb=cos⁡Cc\dfrac{\cos A}{a} = \dfrac{\cos B}{b} = \dfrac{\cos C}{c} and the side a=2a = 2, then the area of the triangle is:

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