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Day 400: MHT-CET Maths

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

  1. Question 1

    Trigonometric Functions. Asked once: 20 Apr 2025 S2 (same type asked 8 times) See all 8 of this type

    120
    In a triangle ABC with usual notations if a=13a = 13, b=14,c=15b= 14,c= 15 Then sin⁡A=\sin A=

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  2. Question 2

    Linear Programming. Asked once: 15 May 2023 S2 (same type asked 8 times) See all 8 of this type

    115
    The graphical solution set of the system of inequations 2x+3y≤6, x+4y≥4, x≥0, y≥02x+3y \leq 6,\, x+4y \geq 4,\, x \geq 0,\, y \geq 0 is given by

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  3. Question 3

    Line and Plane. Asked once: 4 May 2023 S1 (same type asked 7 times) See all 7 of this type

    130
    Let a,b∈Ra,b\in\mathbb{R}. If the mirror image of the point P(a,6,9)P(a,6,9) w.r.t. line x−37=y−25=z−1−9\frac{x-3}{7}=\frac{y-2}{5}=\frac{z-1}{-9} is (20,b,−a−9)(20,b,-a-9), then ∣a+b∣|a+b| is equal to

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  4. Question 4

    Differentiation. Asked once: 2 May 2023 S2 (same type asked 7 times) See all 7 of this type

    120
    If x=sec⁡θ−cos⁡θ,  y=sec⁡10θ−cos⁡10θx = \sec\theta - \cos\theta,\; y = \sec^{10}\theta - \cos^{10}\theta and (x2+4)(dydx)2=k(y2+4)\left(x^2+4\right)\left(\frac{dy}{dx}\right)^2 = k(y^2+4), then the value of k is

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  5. Question 5

    Line and Plane. Asked once: 10 May 2024 S2 (same type asked 7 times) See all 7 of this type

    103
    Two lines x−31=y+13=z−6−1\frac{x-3}{1}=\frac{y+1}{3}=\frac{z-6}{-1} and x+57=y−2−6=z−34\frac{x+5}{7}=\frac{y-2}{-6}=\frac{z-3}{4} intersect at the point R. Then reflection of R in the xy-plane has co-ordinates

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