Question

Q1. SOLVE: [6]
1.) A = {x / 3x – 1=2}; B = {x / x < 2, x is a natural number}. What type of sets are A and B sets? Justify.

2.) Add vertically:2y2 + 7y + 5; 3y + 9; 3y2 – 4y – 3. 3.) Subtract the first polynomial from the second: 2ab2 + 3a2 b – 4ab; 3ab – 8ab2 + 2a2 b.


Q2. SOLVE: [6]
1.) Divide using synthetic division method: (y3 – 216) (y – 6).

2.) If the value of the polynomial m3 + 2m + a is 12 for m = 2, then find the value of a.


Q3. SOLVE: [8]

1.) In a class, 6 students out of 30 have only a dog as their pet animal at home, 8 have only a cat as their pet animal.12 students have both dog and cat, then how many students do not have a dog or a cat as their pet animal at home?

2.) If x – 2 and x - both are the factors of the polynomial nx2 – 5x + m, then show that m = n = 2.​

Answer 1

Answer:

Q1. SOLVE: [6]

1.) A = {x / 3x – 1=2}; B = {x / x < 2, x is a natural number}. What type of sets are A and B sets? Justify.

2.) Add vertically:2y2 + 7y + 5; 3y + 9; 3y2 – 4y – 3. 3.) Subtract the first polynomial from the second: 2ab2 + 3a2 b – 4ab; 3ab – 8ab2 + 2a2 b.

Q2. SOLVE: [6]

1.) Divide using synthetic division method: (y3 – 216) (y – 6).

2.) If the value of the polynomial m3 + 2m + a is 12 for m = 2, then find the value of a.

Q3. SOLVE: [8]

1.) In a class, 6 students out of 30 have only a dog as their pet animal at home, 8 have only a cat as their pet animal.12 students have both dog and cat, then how many students do not have a dog or a cat as their pet animal at home?

2.) If x – 2 and x - both are the factors of the polynomial nx2 – 5x + m, then show that m = n = 2.

Answer 2

Step-by-step explanation:

Mahendra Singh Dhoni, is a former Indian international cricketer who captained the Indian national team in limited-overs formats from 2007 to 2017 and in Test cricket from 2008 to 2014. MS Dhoni is the only captain in the history of cricket to win all ICC trophies.