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 […]
quadratic
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) Amit is planning to buy a house and the layout is given below. The design and the measurement has been made such that areas of two bedrooms and kitchen together is 95 sq.m. Based on the above information, answer the following questions: 1. Form the pair of linear equations in two variables from this situation.
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) Write all the values of p for which the quadratic equation x2 + px +16 = 0 has equal roots. Find the roots of the equation so obtained. Ans: We know that in a standard quadratic equation, a x2 + b x + c = 0 will have equal roots when its discriminant is
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) The age of a man is twice the square of the age of his son. Eight years hence, the age of the man will be 4 years more than three times the age of his son. Find their present ages. Ans: Let’s consider the present age of Father is X and present age of
Q) Find the value of ‘k’ for which the quadratic equation (k + 1) y2 – 6 (k + 1) y + 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 »