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 »
Q). If the zeroes of the polynomial x2 + p x + q are double in values to the zeros of 2 x2 – 5 x – 3 Find the value of p and q. Ans: Step 1: Given polynomial equation 2 x2 – 5 x – 3 = 0 Comparing with standard polynomial, ax2
Q). If 𝛼 and β are zeroes of a polynomial x2 – 7 x + 10, then form a quadratic polynomial whose zeroes are 𝛼2 and 𝛽2 . Ans. For detailed solution to this question, please refer to the solution of a similar question – the link is given below: Click here for solution to similar question.
Q). Sum of the areas of two squares is 157 m2. If the sum of their perimeters is 68 m, find the sides of the two squares. Ans: Let’s consider that the side of a square is X m and the side of the other square is Y m. Step 1: By 1st given condition,
Q. In a fight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. Find the duration of the flight. Ans: Step 1: Let’s consider that the aircraft’s original average speed was X
Q) The roots of equation (q – r) x² + (r – p) x + (p – q) = 0 are equal. Prove that: 2q = p + r, that is, p, q & r are in A.P. ICSE Specimen Question Paper (SQP)2025 Ans: Step 1: Given the polynomial: (q – r) x 2 + (r
The roots of equation (q-r) x² + (r-p) x + (p-q)=0 are equal. Read More »
Q. A car travels a distance of 72 km at a certain average speed of X km per hour and then travels a distance of 81 km at an average speed of 6 km per hour more than its original average speed. If it takes 3 hours to complete the total journey then form a