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Day 155: MHT-CET Maths

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

  1. Question 1

    Sets, Relations and Functions. This type asked 2 times: 12 May 2024 S1, 19 Apr 2026 S2. This one: 19 Apr 2026 S2 See all 2 of this type

    69
    If g(x)=1−xg(x) = 1 - \sqrt{x} and f(g(x))=5+4x+xf(g(x)) = 5 + 4\sqrt{x} + x, then the value of f(6)f(6) is...

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  2. Question 2

    Straight Line. This type asked 2 times: 16 Apr 2026 S2, 19 Apr 2026 S2. This one: 19 Apr 2026 S2 See all 2 of this type

    54
    The family of straight lines 4ax+3by+c=04ax + 3by + c = 0 such that a+b+c=0a + b + c = 0 (where a, b, c are real constants) are concurrent at the point...

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  3. Question 3

    Probability Distribution. This type asked 2 times: 20 Apr 2025 S1, 19 Apr 2026 S1. This one: 19 Apr 2026 S1 See all 2 of this type

    51
    Let aa be an integer selected at random from the set {0,1,2,3,…,9}\{0, 1, 2, 3, \ldots, 9\}. The probability that the equation ax2−ax+1=0ax^2 - ax + 1 = 0 has real roots is ...

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  4. Question 4

    Straight Line. This type asked 2 times: 15 Apr 2026 S1, 18 Apr 2026 S2. This one: 18 Apr 2026 S2 See all 2 of this type

    54
    The coordinates of the orthocenter of the triangle whose sides are represented by the lines 4x−7y+10=0,x+y=54x - 7y + 10 = 0, x + y = 5 and 7x+4y=157x + 4y = 15 are …\ldots

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  5. Question 5

    Applications of Derivative. This type asked 2 times: 9 May 2024 S2, 18 Apr 2026 S1. This one: 18 Apr 2026 S1 See all 2 of this type

    77
    If the tangent to the curve xy+ax+by=0xy + ax + by = 0 at (1,1)(1, 1) makes an angle of tan⁡−12\tan^{-1}2 with positive direction of the xx-axis, then the value of aba+b\dfrac{ab}{a + b} is...

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