PYQ Vault

Day 98: CBSE Class 10 Maths

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

  1. Question 1

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

    26 (a)
    If tan⁡θ+sin⁡θ=m\tan\theta + \sin\theta = m and tan⁡θ−sin⁡θ=n\tan\theta - \sin\theta = n, then prove that m2−n2=4mnm^2 - n^2 = 4\sqrt{mn}.

  2. Question 2

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

    Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the options given below.
    19
    Assertion (A) : For an acute angle θ\theta, sin⁡θ=35⇒cos⁡θ=−45\sin\theta = \dfrac{3}{5} \Rightarrow \cos\theta = -\dfrac{4}{5}. Reason (R) : For any value of θ\theta, (0∘≤θ≤90∘)(0^\circ \le \theta \le 90^\circ) sin⁡2θ+cos⁡2θ=1\sin^2\theta + \cos^2\theta = 1.

    Tap an option to check your answer.

  3. Question 3

    Pair of Linear Equations in Two Variables. Asked once: 2025 (same type asked 4 times)

    3
    The value of ‘k’ for which the system of linear equations 6x+y=3k6x + y = 3k and 36x+6y=336x + 6y = 3 have infinitely many solutions is :

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  4. Question 4

    Pair of Linear Equations in Two Variables. Asked once: 2025 (same type asked 4 times)

    17
    The system of equations 2x+1=02x + 1 = 0 and 3y−5=03y - 5 = 0 has

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  5. Question 5

    Pair of Linear Equations in Two Variables. Asked once: 2025 (same type asked 4 times)

    7
    A system of two linear equations in two variables is inconsistent, if the lines in the graph are :

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