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Day 213: MHT-CET Maths

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

  1. Question 1

    Permutations and Combinations. Asked once: 20 Apr 2025 S1 (same type asked 4 times) See all 4 of this type

    133
    A regular polygon has 20 sides. The number of triangles that can be drawn by using the vertices but not using the sides are

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  2. Question 2

    Circle. Asked once: 19 Apr 2025 S2 (same type asked 4 times) See all 4 of this type

    147
    If the tangent at (1,7)(1,7) to the curve x2=y−6x^{2}=y- 6 touches the circle x2+y2+16x+12y+C=0x^{2}+y^{2}+ 16x+ 12y+ C = 0, then C=C =

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  3. Question 3

    Indefinite Integration. Asked once: 17 Apr 2026 S1 (same type asked 4 times) See all 4 of this type

    82
    If f′(x)=(x+1)exxf'(x) = \dfrac{(\sqrt{x} + 1)e^{\sqrt{x}}}{\sqrt{x}} and f(0)=ef(0) = e then f(1)=…………f(1) = \ldots\ldots\ldots\ldots

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  4. Question 4

    Mathematical Logic. Asked once: 13 May 2026 S1 (same type asked 4 times) See all 4 of this type

    64
    The dual of the statement pattern ∼p→∼(∼p→q)\sim p \to \sim(\sim p \to q) is...

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  5. Question 5

    Sets, Relations and Functions. Asked once: 10 May 2024 S2 (same type asked 4 times) See all 4 of this type

    114
    The domain of the function f(x)=sin⁡−1 ⁣(∣x∣+5x2+1)f(x)=\sin^{-1}\!\left(\dfrac{|x|+5}{x^2+1}\right) is (−∞,−a]∪[a,∞)(-\infty,-a]\cup[a,\infty). Then aa is equal to

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