PYQ Vault

Day 158: 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 3 times)

    2
    The value of (tan⁡Acosec⁡A)2−(sin⁡Asec⁡A)2(\tan A \operatorname{cosec} A)^2 - (\sin A \sec A)^2 is :

    Tap an option to check your answer.

  2. Question 2

    Introduction to Trigonometry. Asked once: 2023 (same type asked 3 times)

    22 (B)
    If sin⁡θ−cos⁡θ=0\sin\theta - \cos\theta = 0, then find the value of sin⁡4θ+cos⁡4θ\sin^4\theta + \cos^4\theta.

  3. Question 3

    Pair of Linear Equations in Two Variables. Asked once: 2025 (same type asked 3 times)

    31
    Solve the following system of equations graphically : 2x+3y=62x + 3y = 6 x+y−1=0x + y - 1 = 0 Also, find the sum of ordinates of the points where given lines meet y axis.

  4. Question 4

    Polynomials. Asked once: 2024 (same type asked 3 times)

    21
    If α\alpha and β\beta are zeroes of the quadratic polynomial p(x)=x2−5x+4p(x) = x^2 - 5x + 4, then find the value of 1α+1β−2αβ\dfrac{1}{\alpha} + \dfrac{1}{\beta} - 2\alpha\beta.

  5. Question 5

    Probability. Asked once: 2025 (same type asked 3 times)

    26
    All face cards of spades are removed from a pack of 52 playing cards and the remaining pack is shuffled well. A card is then drawn at random from the remaining pack. Find the probability of getting : (a) a face card (b) an ace or a jack