PYQ Vault

Day 148: CBSE Class 10 Maths

5 questions (8 parts). Try each one first, then open its answer.

  1. Question 1

    Triangles. Asked once: 2023 (same type asked 3 times)

    33 (B)
    If AD and PM are medians of triangles ABC and PQR, respectively where ΔABC∼ΔPQR\Delta ABC \sim \Delta PQR, prove that ABPQ=ADPM\dfrac{AB}{PQ} = \dfrac{AD}{PM}.

  2. Question 2

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

    8
    In triangles ABC and DEF, ∠B=∠E\angle B = \angle E, ∠F=∠C\angle F = \angle C and AB = 3 DE. Then, the two triangles are :

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  3. Question 3

    Pair of Linear Equations in Two Variables. Asked once: 2023 (same type asked 3 times)

    8
    The pair of equations x=ax = a and y=by = b graphically represents lines which are :

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  4. Question 4 (case study, 4 parts)

    Pair of Linear Equations in Two Variables. Asked once: 2023 (same type asked 3 times)

    A coaching institute of Mathematics conducts classes in two batches I and II and fees for rich and poor children are different. In batch I, there are 20 poor and 5 rich children, whereas in batch II, there are 5 poor and 25 rich children. The total monthly collection of fees from batch I is ₹ 9000 and from batch II is ₹ 26,000. Assume that each poor child pays ₹ xx per month and each rich child pays ₹ yy per month. Based on the above information, answer the following questions :
    36 (i)
    Represent the information given above in terms of xx and yy.
    36 (ii) (a)
    Find the monthly fee paid by a poor child.
    36 (ii) (b)
    Find the difference in the monthly fee paid by a poor child and a rich child.
    36 (iii)
    If there are 10 poor and 20 rich children in batch II, what is the total monthly collection of fees from batch II ?

  5. Question 5

    Polynomials. Asked once: 2023 (same type asked 3 times)

    14
    The zeroes of the polynomial p(x)=x2+4x+3p(x) = x^2 + 4x + 3 are given by :

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