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Day 198: MHT-CET Maths

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

  1. Question 1

    Applications of Derivative. Asked once: 14 May 2026 S1 (same type asked 5 times) See all 5 of this type

    76
    The point on the curve y=3x2−9x+8y = 3x^2 - 9x + 8 where the tangent is parallel to x-axis is

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  2. Question 2

    Differentiation. Asked once: 15 May 2026 S1 (same type asked 5 times) See all 5 of this type

    73
    The derivative of f(cos⁡x)f(\cos x) with respect to g(tan⁡x)g(\tan x) at x=π6x = \dfrac{\pi}{6}, given that f′(32)=4f'\left(\dfrac{\sqrt{3}}{2}\right) = 4 and g′(13)=2g'\left(\dfrac{1}{\sqrt{3}}\right) = 2 is:

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  3. Question 3

    Pair of Straight Lines. Asked once: 17 Apr 2026 S1 (same type asked 5 times) See all 5 of this type

    56
    The measure of the acute angle between the pair of lines 2x2+xy−y2−x+2y−1=02x^2 + xy - y^2 - x + 2y - 1 = 0 is:

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  4. Question 4

    Probability Distribution. Asked once: 25 Apr 2025 S1 (same type asked 5 times) See all 5 of this type

    116
    Let X denote the number of hours you study on a Sunday. It is known that P(X=x)={0.1, if x=0kx, if x=1 or 2k(5−x), if x=3 or 40, otherwise P(X =x) =\left\{ \begin{matrix} 0.1 & ,\text{~if~}x= 0 \\ kx & ,\text{~if~}x= 1\text{~or~}2 \\ k(5 -x) & ,\text{~if~}x= 3\text{~or~}4 \\ 0 & ,\text{~otherwise~} \end{matrix} \right.where k is constant. Then the probability that you study at least two hours on a Sunday is

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  5. Question 5

    Trigonometric Functions. Asked once: 19 Apr 2026 S1 (same type asked 5 times) See all 5 of this type

    55
    Let x∈[0,6π]x \in [0, 6\pi] satisfy the equation cos⁡x−sin⁡x=−1\cos x - \sin x = -1. If x=k(π3)x = k\left(\dfrac{\pi}{3}\right) where k∈Nk \in N, then find the number of possible values of kk is .....

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