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Day 371: MHT-CET Maths

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

  1. Question 1

    Line and Plane. Asked once: 20 Apr 2025 S2 (same type asked 7 times) See all 7 of this type

    129
    The distance of the point (2,4,0)(2,4,0) from the point of intersection of the lines x+63=y2=z+11\frac{x+ 6}{3}=\frac{y}{2}=\frac{z+ 1}{1} and x−74=y−93=z−42\frac{x- 7}{4}=\frac{y- 9}{3}=\frac{z- 4}{2} is

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  2. Question 2

    Trigonometric Functions. Asked once: 19 Apr 2025 S1 (same type asked 7 times) See all 7 of this type

    121
    The sum to infinite terms of the series tan⁡−1(13)+tan⁡−1(29)+……+tan⁡−1(2n−11+22n−1)+……\tan^{- 1}\left( \frac{1}{3} \right)+\tan^{- 1}\left( \frac{2}{9} \right)+ \ldots\ldots +\tan^{- 1}\left( \frac{2^{n- 1}}{1 +2^{2n- 1}} \right)+ \ldots\ldots is

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  3. Question 3

    Trigonometric Functions. Asked once: 20 Apr 2025 S1 (same type asked 7 times) See all 7 of this type

    145
    If tan⁡3θ=cot⁡θ\tan3\theta= \cot\theta, then θ=\theta=

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  4. Question 4

    Line and Plane. Asked once: 11 May 2023 S1 (same type asked 7 times) See all 7 of this type

    116
    The perpendicular distance of the origin from the plane 2x+y−2z−18=02x + y - 2z - 18 = 0 is

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  5. Question 5

    Differential Equations. Asked once: 9 May 2024 S1 (same type asked 7 times) See all 7 of this type

    143
    The differential equation of all parabolas, whose axes are parallel to Y-axis, is

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