PYQ Vault

Day 205: CBSE Class 10 Maths

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

  1. Question 1

    Pair of Linear Equations in Two Variables. Asked once: 2025

    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) : The pair of linear equations px+3y+59=0px + 3y + 59 = 0 and 2x+6y+118=02x + 6y + 118 = 0 will have infinitely many solutions if p=1p = 1. Reason (R) : If the pair of linear equations px+3y+19=0px + 3y + 19 = 0 and 2x+6y+157=02x + 6y + 157 = 0 has a unique solution, then p≠1p \neq 1.

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  2. Question 2

    Polynomials. Asked once: 2023

    1
    The number of polynomials having zeroes −3-3 and 5 is :

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  3. Question 3

    Quadratic Equations. Asked once: 2023

    29 (A)
    The sum of two numbers is 15. If the sum of their reciprocals is 310\dfrac{3}{10}, find the two numbers.

  4. Question 4

    Real Numbers. Asked once: 2025

    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 two prime numbers xx and yy (x<y)(x < y), HCF(x,y)=x\text{HCF}(x, y) = x and LCM(x,y)=y\text{LCM}(x, y) = y. Reason (R) : HCF(x,y)≤LCM(x,y)\text{HCF}(x, y) \leq \text{LCM}(x, y), where xx, yy are any two natural numbers.

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  5. Question 5

    Some Applications of Trigonometry. Asked once: 2023

    33 (a)
    As observed from the top of a 75 m high lighthouse from the sea-level, the angles of depression of two ships are 30∘30^\circ and 60∘60^\circ. If one ship is exactly behind the other on the same side of the lighthouse, find the distance between the two ships. (Use 3=1⋅73\sqrt{3} = 1{\cdot}73)