Q) If 𝛼 and β are zeroes of a polynomial 6 x2 – 5 x + 1, then form a quadratic polynomial whose zeroes are 𝛼2 and 𝛽2 . Ans: Step 1: Given polynomial equation 6 x2 – 5 x + 1 = 0 Comparing with standard polynomial, ax2 + b x + c = […]
quadratic
Q) Find the zeroes of the quadratic polynomial x2 – 15 and verify the relationship between the zeroes and the coefficients of the polynomial. Ans: In the given polynomial equation, to find zeroes, we will start with f(x) = 0 Therefore, x2 – 15 = 0 Step 1: Let’s start calculating the zeroes of the
Find the zeroes of the quadratic polynomial x2 – 15 and verify the relationship Read More »
Q) In a flight of 2800 km, an aircraft was slowed down due to bad weather. Its average speed is reduced by 100 km/h and by doing so, the time of flight is increased by 30 minutes. Find the original duration of the flight. Ans: Let’s consider original Speed of the flight be S and
In a flight of 2800 km, an aircraft was slowed down due to bad weather. Read More »
Q) A dealer sells an article for Rs. 75 and gains as much percent as the cost price of the article. Find the cost price of the article. Ans: Let’s consider the cost price of the article is X At sales price of Rs. 75, his profit is 75 – X The percentage % gain
Q) Two water taps together can fill a tank in 3 hours. The tap of larger diameter takes 5 hours less than the smaller one to fill the tank separately. Find the time (in hrs) which each tap can separately fill the tank.5 Ans: It is given that, Time taken by both water taps together =
Two water taps together can fill a tank in 3 1/3 hours. Read More »
Q) While playing in a garden, Samaira saw a honeycomb and asked her mother what is that. Her mother replied that it’s a honeycomb made by honey bees to store honey. Also, she told her that the shape of the honeycomb formed is a mathematical structure. The mathematical representation of the honeycomb is shown in the
While playing in a garden, Samaira saw a honeycomb and asked her mother what is that. Read More »
Q) Tara scored 40 marks in a test, getting 3 marks for each right answer and losing 1 mark for each wrong answer. Had 4 marks been awarded for each correct answer and 2 marks been deducted for each wrong answer, then Tara would have scored 50 marks. Assuming that Tara attempted all questions, find
Tara scored 40 marks in a test, getting 3 marks for each right answer and losing Read More »
Q) A ball is thrown in the air so that t seconds after it is thrown, its height h metre above its starting point is given by the polynomial h = 25t – 5t2. Observe the graph of the polynomial and answer the following questions : (i) Write zeroes of the given polynomial.(ii) Find the
Q. Three years ago, Rashmi was thrice as old as Nazma. Ten years later, Rashmi will be twice as old as Nazma. How old are Rashmi and Nazma now? Ans: Let’s consider Rashmi’s present age be X and Nazma’s present age be Y Hence, Rashmi’s age 3 years ago = X – 3 Nazma’s age
Three years ago, Rashmi was thrice as old as Nazma. Ten years later, Rashmi will be Read More »
Q) Find the zeroes of the polynomial f(t) = t2 + 4 √3 t – 15 and verify the relationship between the zeroes and the coefficients of the polynomial. Ans: In the given polynomial equation, to find zeroes, we will start with f(x) = 0 Therefore, t2 + 4√3 t – 15 = 0 Step
Find the zeroes of the polynomial f(t) = t2 + 4 √3 t – 15 and verify the relationship Read More »