PYQ Vault

Day 186: 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: 2026

    32
    Determine graphically, the coordinates of vertices of a triangle whose equations are 2x−3y+6=02x - 3y + 6 = 0; 2x+3y−18=02x + 3y - 18 = 0 and x=0x = 0. Also, find the area of this triangle.

  2. Question 2

    Polynomials. Asked once: 2025

    1
    If α\alpha and β\beta are the zeroes of polynomial 3x2+6x+k3x^2 + 6x + k such that α+β+αβ=−23\alpha + \beta + \alpha\beta = -\dfrac{2}{3}, then the value of k is :

    Tap an option to check your answer.

  3. Question 3

    Probability. Asked once: 2025

    24
    Renu and Simran were born in the year 2000 which is a leap year. Find the probability that : (i) both have same birthday. (ii) both have different birthdays.

  4. Question 4

    Quadratic Equations. Asked once: 2026

    33 (a)
    A person on a tour has ₹ 4,200 for expenses. If he extends his tour for 3 days, he has to cut down his daily expenses by ₹ 70. Find the original duration of the tour.

  5. Question 5

    Real Numbers. Asked once: 2026

    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) : (3+5)(\sqrt{3} + \sqrt{5}) is an irrational number. Reason (R) : Sum of the any two irrational numbers is always irrational.

    Tap an option to check your answer.