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 »
quadratic
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
Q) A brooch is a small piece of jewellery which has a pin at the back so it can be fastened on a dress, blouse or coat. Designs of some brooch are shown below. Observe them carefully. Design A: Brooch A is made with silver wire in the form of a circle with diameter 28mm. The
A brooch is a small piece of jewellery which has a pin at the back so it can be Read More »
Q) The speed of a motor boat is 20 km/hr. For covering the distance of 15 km the boat took 1 hour more for upstream than downstream. 1. Let speed of the stream be x km/hr. Then speed of the motorboat in upstream will be a) 20 km/hr b) (20 +
The speed of a motor boat is 20 km/hr. For covering the distance of 15 km the boat took Read More »
Q) If a, b are the zeroes of polynomial f(x) = x2 – p (x + 1) – c then show that (a + 1) (b + 1) = 1 – c Ans: Step 1: In the given polynomial equation f(x), to find zeroes, we will start with f(x) = 0 Therefore, x2 – p