Q). The sum of the areas of two squares is 640 m2. If the difference of their perimeters is 64 m, find the sides of the two squares. (Q 35 B – 30/1/3 – CBSE 2026 Question Paper) Ans: Let’s consider that the side of a square is X m and the side of the […]
quadratic
Q)Â A faster train takes one hour less than a slower train for a journey of 200 km. If the speed of the slower train is 10 km/hr less than that of the faster train, find the speeds of the two trains. (Q 35 A – 30/1/3 – CBSE 2026 Question Paper) Ans:Â Step 1: Let’s
Q) Find the zeroes of the quadratic polynomial 2 x2 – (1 + 2√2) x + √2 and verify the relationship between zeroes and coefficients of the polynomial. Q28 – Sample Question Paper – Set 1 – Maths Standard – CBSE 2026 Ans: (i) In the given polynomial equation, to find zeroes, we will start with
Q. A train travels at a certain average speed for a distance of 63 km and then travels at a distance of 72 km at an average speed of 6km/hr more than its original speed. If it takes 3 hours to complete the total journey, what is the original average speed? Q32 – Sample Question
Q) Find the value(s) of p for which the quadratic equation given as (p + 4) x2Â – (p + 1) x + 1 = 0 has real and equal roots. Also, find the roots of the equation(s) so obtained. PYQ: 32 (b) – CBSE 2025 – Code 30 – Series 5 – Set 1 Ans:
Q)Â Obtain the zeroes of the polynomial 7 x2Â + 18 x – 9 Hence, write a polynomial each of whose zeroes is twice the zeroes of given polynomial. PYQ: Q 27 – CBSE 2025 – Code 30 – Series 5 – Set 1 Ans:Â VIDEO SOLUTION STEP BY STEP SOLUTION Step 1: Given polynomial equation
      Q) The sum of the squares of two consecutive natural numbers is 365. Find the numbers. Ans: Step 1: Let the first number be X. Since the numbers are consecutive, hence next number will be: X + 1 Step 2: According to the given condition, sum of the squares of
The sum of the squares of two consecutive natural numbers is 365. Find the numbers. Read More »
      Q) Solve the quadratic equation 2×2 – 3x – 5 = 0 using the quadratic formula. Ans: [Approach: we know that the in a quadratic formula, the value of x is calculated by: x = , where, b2 – 4 a c is the discriminant. Hence, if we calculate the value
Solve the quadratic equation 2x² – 3x – 5 = 0 using the quadratic formula. Read More »
      Q) Find the value of ‘c’ for which the quadratic equation (c + 1) y 2 – 6 (c + 1) y + 3 (c + 9) = 0 has real and equal roots.  [CBSE 2023 – Series 3- Set 3] Ans: For detailed solution to this question, please refer
Find the value of c for which the quadratic equation (c + 1) y2 – 6(c+1) y + 3(c+9)= 0 Read More »
Q). Solve for x: , x ≠1, – , – 4 Ans: ∴ ∴ ∴ ∴ (8 x + 4) (x + 4) = 5 (x + 1)(5 x + 1) ∴ 8 x2 + 4 x + 32 x + 16 = 5 ( 5 x2 + 5 x + x + 1)
Solve for x: 1/ x + 1 + 3 / 5 x + 1 = 5 / x + 4, x ≠1, – 1/5, – 4 Read More »