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Day 511: MHT-CET Maths

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

  1. Question 1

    Indefinite Integration. Asked once: 15 Apr 2026 S1

    79
    If f(x)f(x) and g(x)g(x) are integrable functions then [∫f(x)dx][∫g(x)dx]=\left[\displaystyle\int f(x)dx\right]\left[\displaystyle\int g(x)dx\right] =

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  2. Question 2

    Line and Plane. Asked once: 22 Apr 2025 S2

    126
    If the point (1,α,β)(1,\alpha,\beta) lies on the line of the shortest distance between the lines x+2−3=y−24=z−52\frac{x + 2}{- 3}=\frac{y - 2}{4}=\frac{z - 5}{2} and x+2−1=y+62,z=1\frac{x + 2}{- 1}=\frac{y + 6}{2},z = 1, then α+β=\alpha + \beta =

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  3. Question 3

    Probability Distribution. Asked once: 2 May 2023 S2

    116
    Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all three persons apply for the same house is

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  4. Question 4

    Trigonometric Functions. Asked once: 26 Apr 2025 S1

    103
    If tan⁡(πcos⁡θ)=cot⁡(πsin⁡θ)\tan(\pi\cos\theta) = \cot(\pi\sin\theta), then sin⁡(π4+θ)=\sin\left( \frac{\pi}{4}+\theta \right)=

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  5. Question 5

    Trigonometry - II. Asked once: 4 May 2023 S2

    150
    If A>B and tan⁡A−tan⁡B=x\tan A - \tan B = x and cot⁡B−cot⁡A=y\cot B - \cot A = y, then cot⁡(A−B)=\cot(A-B)=

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