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 […]
quadratic
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 »
Q) If 𝛼, β are zeroes of quadratic polynomial f(x) = 6 x2 + 11 x – 10, find the value of Ans: In the given polynomial equation, to find zeroes, we will start with f(x) = 0 Therefore, 6 x2 + 11 x – 10 = 0 Step 1: Given that the roots of
Q. Solve for X : Ans: Given equation is: ∴ ∴ 4 (2 X + 3) – 5 X = 3 X (2X + 3) ∴ 8 X + 12 – 5 X = 6 X 2 + 9 X ∴ 12 = 6 X 2 + 6 X ∴ 6 X 2 + 6 X
Q. The sum of two numbers is 18 and the sum of their reciprocals is 1/4 . Find the numbers. Ans: Let the numbers be X and Y Step 1: By 1st condition: X + Y = 18 or X = 18 – Y ….. (i) Step 2: By 2nd condition: By simplifying this equation, we
The sum of two numbers is 18 and the sum of their reciprocals is 1/4 . Find the numbers. Read More »
Q. The sum of the reciprocals of Rehman’s ages (in years) 3 years ago and 5 years from now is 1/3 . Find his present age. Ans: Let’s consider Rehman’s present age be X Hence, his age 3 years ago = X – 3 and his age 5 years from now = X + 5
Q. In a class test, the sum of Shefali’s marks in Mathematics and English is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been 210. Find her marks in the two subjects. Ans: Let’s consider the marks in mathematics be X.
4.3.5. In a class test, the sum of Shefali’s marks in Mathematics and English is 30. Read More »
Q. The diagonal of rectangular field is 60 meters more than the shorter side. If the longer side is 30 m more than the shorter side, find the sides of the field. Ans: Let’s consider the shorter side of the field be X m. Hence, the longer side will be (X + 30) m (by
Q. Is the following situation possible? If so, determine their present ages. The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48. Ans: (note: In this question, we justify the answer with proper reason) Let’s consider the ages of friends as X years