While factorizing a given polynomial, using remainder & factor theorem, a student finds that (2x + 1) is a factor of 2×3 + 7×2 + 2x – 3. (a) Is the student’s solution correct stating that (2x + 1) is a factor of the given polynomial? (b) Give a valid reason for your answer. Also, […]
While factorizing a given polynomial, using remainder & factor theorem, a student finds Read More »
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)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) 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) While factorizing a given polynomial, a student finds that (2x + 1) is a factor of 2 x3 + 7 x 2 + 2 x – 3 (a) Is the student’s solution correct stating that (2x + 1) is a factor of the given polynomial? (b) Give a valid reason for your answer. (c)
While factorizing a given polynomial, a student finds that (2x + 1) is a factor of Read More »
Q)Â 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)Â 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
Q)Â Basketball and soccer are played with a spherical ball. Even though an athlete dribbles the ball in both sports, a basketball player uses his hands and a soccer player uses his feet. Usually, soccer is played outdoors on a large field and basketball is played indoor on a court made out of wood. The projectile