PYQ Vault

Day 178: CBSE Class 10 Maths

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

  1. Question 1

    Introduction to Trigonometry. Asked once: 2023 (same type asked 4 times)

    2
    If tan⁡θ=xy\tan\theta = \dfrac{x}{y}, then cos⁡θ\cos\theta is equal to

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  2. Question 2

    Introduction to Trigonometry. Asked once: 2025 (same type asked 4 times)

    27 (a)
    Prove that : (1+1tan⁡2θ)(1+1cot⁡2θ)=1sin⁡2θ−sin⁡4θ\left(1 + \dfrac{1}{\tan^2\theta}\right)\left(1 + \dfrac{1}{\cot^2\theta}\right) = \dfrac{1}{\sin^2\theta - \sin^4\theta}

  3. Question 3

    Probability. Asked once: 2023 (same type asked 4 times)

    17
    Cards bearing numbers 3 to 20 are placed in a bag and mixed thoroughly. A card is taken out of the bag at random. What is the probability that the number on the card taken out is an even number ?

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  4. Question 4

    Probability. Asked once: 2025 (same type asked 4 times)

    14
    A die is thrown once. The probability of getting a number which is not a factor of 36, is :

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  5. Question 5

    Statistics. Asked once: 2025 (same type asked 4 times)

    34
    The following table gives the daily income of 50 cab drivers of a particular city :
    Income (₹)500 - 600600 - 700700 - 800800 - 900900 - 1000
    No. of Drivers12148610
    Find the mean income and the modal income.