PYQ Vault

Day 30: CBSE Class 10 Maths

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

  1. Question 1

    Introduction to Trigonometry. Asked 2 times: 2023, 2024

    26
    Prove that cosec⁡2θ−sec⁡2θcosec⁡2θ+sec⁡2θ=34\dfrac{\operatorname{cosec}^2\theta - \sec^2\theta}{\operatorname{cosec}^2\theta + \sec^2\theta} = \dfrac{3}{4}, if tan⁡θ=17\tan\theta = \dfrac{1}{\sqrt{7}}

  2. Question 2

    Introduction to Trigonometry. Asked 2 times: 2023*, 2024 (* = numbers or wording changed that year)

    7
    If sec⁡θ−tan⁡θ=m\sec\theta - \tan\theta = m, then the value of sec⁡θ+tan⁡θ\sec\theta + \tan\theta is :

    Tap an option to check your answer.

  3. Question 3

    Introduction to Trigonometry. Asked 2 times: 2023*, 2024 (* = numbers or wording changed that year)

    31
    Prove that sin⁡6θ+cos⁡6θ=1−3sin⁡2θcos⁡2θ\sin^6\theta + \cos^6\theta = 1 - 3\sin^2\theta\cos^2\theta.

  4. Question 4

    Pair of Linear Equations in Two Variables. Asked 2 times: 2023, 2024

    1
    The value of k for which the system of equations 3x−y+8=03x - y + 8 = 0 and 6x−ky+16=06x - ky + 16 = 0 has infinitely many solutions, is

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  5. Question 5

    Pair of Linear Equations in Two Variables. Asked 2 times: 2023*, 2024 (* = numbers or wording changed that year)

    32 (b)
    Tara scored 40 marks in a test, getting 3 marks for each right answer and losing 1 mark for each wrong answer. Had 4 marks been awarded for each correct answer and 2 marks been deducted for each wrong answer, then Tara would have scored 50 marks. Assuming that Tara attempted all questions, find the total number of questions in the test.