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Day 95: MHT-CET Maths

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

  1. Question 1

    Trigonometric Functions. This type asked 3 times: 20 Apr 2025 S1, 20 Apr 2025 S2, 25 Apr 2025 S1. This one: 25 Apr 2025 S1 See all 3 of this type

    140
    In a triangle ABC, with usual notations, 2cos⁡Aa+cos⁡Bb+2cos⁡Cc=abc+bca\frac{2\cos A}{a}+\frac{\cos B}{b}+\frac{2\cos C}{c}=\frac{a}{bc}+\frac{b}{ca}. Then ∠A=\angle A=

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  2. Question 2

    Complex Numbers. This type asked 3 times: 4 May 2023 S2, 15 May 2023 S2, 22 Apr 2025 S1. This one: 22 Apr 2025 S1 See all 3 of this type

    136
    If z=x+iyz =x+ iy is a complex number, then the equation ∣z+iz−i∣=3\left| \frac{z+i}{z-i} \right|=\sqrt{3} represents the

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  3. Question 3

    Applications of Derivative. This type asked 3 times: 3 May 2023 S1, 12 May 2024 S1, 20 Apr 2025 S2. This one: 20 Apr 2025 S2 See all 3 of this type

    130
    The approximate value of cos⁡(59∘30′)\cos\left( 59^{\circ}30^{'} \right) is (given 1∘=0.0175∘,sin⁡60∘=0.86601^{\circ}=0.0175^{\circ},\sin60^{\circ}= 0.8660 )

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  4. Question 4

    Line and Plane. This type asked 3 times: May 2022 S1, 2 May 2023 S2, 20 Apr 2025 S1. This one: 20 Apr 2025 S1 See all 3 of this type

    109
    If the shortest distance between the lines x−k2=y−43=z−34\frac{x- k}{2}=\frac{y- 4}{3}=\frac{z - 3}{4} and x−24=y−46=z−78\frac{x- 2}{4}=\frac{y- 4}{6}=\frac{z - 7}{8} is 1329\frac{13}{\sqrt{29}}, then k=k =

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  5. Question 5

    Trigonometric Functions. This type asked 3 times: 4 May 2023 S2, 15 May 2023 S2, 20 Apr 2025 S1. This one: 20 Apr 2025 S1 See all 3 of this type

    147
    With usual notations, in a triangle ABCABC, if θ\theta is any real number, then acos(B−θ)+bcos(A+θ)acos(B-\theta) +bcos(A+\theta) is

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