PYQ Vault

Day 69: 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)

    Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the options given below.
    20
    Assertion (A) : For an acute angle θ\theta, sec⁡θ=3⇒tan⁡θ=22\sec\theta = 3 \Rightarrow \tan\theta = 2\sqrt{2}. Reason (R) : sec⁡2θ=1−tan⁡2θ\sec^2\theta = 1 - \tan^2\theta for all values of θ\theta.

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  2. Question 2

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

    6
    The value of ‘p’ for which the equations px+3y=p−3px + 3y = p - 3, 12x+py=p12x + py = p has infinitely many solutions is :

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  3. Question 3

    Pair of Linear Equations in Two Variables. Asked once: 2026 (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) : The system of linear equations 3x−5y+7=03x - 5y + 7 = 0 and −6x+10y+14=0-6x + 10y + 14 = 0 is inconsistent. Reason (R) : When two linear equations don't have unique solution, they always represent parallel lines.

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  4. Question 4

    Pair of Linear Equations in Two Variables. Asked once: 2026 (same type asked 4 times)

    5
    If a pair of linear equations in two variables is represented by two coincident lines, then the pair of equations has :

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  5. Question 5

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

    11
    The sum of the zeroes of the polynomial p(x)=5x−7x2+3p(x) = 5x - 7x^2 + 3 is :

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