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) 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
Q) 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
Q) Find X in terms of a b, and c: , X ≠ a, b, c Ans: Given equation is: ∴ ∴ [a (X – b) + b (X – a)] (X – c) = 2 c (X – a) (X – b) ∴ (a X – a b +
Find x in terms of a b, and c: a/(x – a) + b/(x – b) = 2 c/(x – c), x ≠ a, b, c Read More »
Q) Swimming Pool : The volume of water in a rectangular, in-ground, swimming pool is given by V (x)= x3 + 11 x2 + 24x, where V (x) is the volume in cubic feet when the water is x ft high. (i) Find the dimension of base of pool. (ii) Use the remainder theorem to
The volume of water in a rectangular, in-ground, swimming pool is given by V (x)= Read More »
Q) Find the value of ‘k’ for which the quadratic equation (k + 1) x2 – 6 (k + 1) x + 3 (k + 9) = 0, k ≠ – 1 has real and equal roots. [CBSE 2024 – Series 5 – Set 1] Ans: Given quadratic equation is: (k
Find the value of k for which the quadratic equation (k + 1) y2 – 6(k +1) y + 3(k +9)= 0 Read More »
Q) An asana is a body posture, originally and still a general term for a sitting meditation pose, and later extended in hatha yoga and modern yoga as exercise, to any type of pose or position, adding reclining, standing, inverted, twisting, and balancing poses. In the figure, one can observe that poses can be related
Q) A parabolic arch is an arch in the shape of a parabola. In structures, their curve represents an efficient method of load, and so can be found in bridges and in architecture in a variety of forms. 1. In the standard form of quadratic polynomial, a x2 + b x + c, a, b