Visualisation of (X+A)(X+B)

Q.

List the components of the IDE screen of visual basic.

Q.

$n^2-1$ is divisible by $8$, if $n$ is

1. an integer

2. a natural number

3. an odd integer

4. an even integer

Q.

Expand the following, using suitable identities: ${(\frac{1}{4}a-\frac{1}{2}b+1)}^2$ [3 MARKS]

Q. Find the product $(2x+7)(2x–7)$ using identities.

1. $2x^2-49$
2. $4x^2-28x+49$
3. $4x^2-49$
4. $4x^2-14x-49$

Q. 102 X 99 =

1. 11098
2. 10098
3. 10980

Q. $94\times 106$ = ______.

1. $9962$
2. $9764$
3. $8964$
4. $9964$

Q.

Visualizing of (x+a)(x+b) can be done using a straight line

1. True

2. False

Q.

Which of the following options correctly match, when the subject of the given formula is change to m?

2p = 3q + $\sqrt{5p^2-m}$

1. p² + 8q² + 15 pq

2. 2p² – 4q² + 16 pq

3. 2p² – 5q² + 12 pq

4. p² – 9q² + 12 pq

Q. Multiply $(x–8)(x+9)$

1. $x^2-72$
2. $x^2+x-72$
3. $x^2-x-72$
4. $x^2-17x-72$

Q. The height of a triangle is $2x+6$ cm and its base $4x-12$ cm. The area of the triangle expressed as a polynomial is ​

1. $8x^2-72c{m}^2$
2. $2x^2-18c{m}^2$
3. $4x^2-36c{m}^2$
4. $4x^2-24x36c{m}^2$

Q.

(x+a)(x+b)=___

1. $x^2+x+ax+ab$

2. $x^2+bx+ax+ab$

3. $x^2+x(a+b)+ab$

4. $x^2+(a+b)+ab$

Q. Multiply $(6k-1)(k^2+2k-4)$

1. $6k^3+11k^2-26k+4$
2. $6k^3-13k^2-22k-4$
3. $6k^3-11k^2+26k+4$
4. $6k^3+11k^2+26k-4$

Q.

The constants while visualizing (x+a)(x+b) are 'a' and 'b' if x represents a variable.

1. True

2. False

Q. $(5x-3)(5x+3)$ =

1. $25x^2-9$
2. $-25x^2-9$
3. $25x^2+9$

Q.

Find the correct option when x is the subject of the formula of given expression.

$a(x–b)=a^2+bx$

1. a(a + b)/(a - b)

2. a(a - b)/(a + b)

3. b (a + b)/(a - b)

4. ab(a + b)/(a - b)

Q.

$x^2+x(a+b)+ab$ is equal to

1. (x-a)(x+b)

2. (x+a)(x+b)

3. (x+ax+b)

4. (b+a)(x+x)

Q.

$(1003-97{)}^2$ = ______.

1. $620836$
2. $720836$
3. $820839$
4. $820836$

Q.

If 2a + 3b = 8 then express $3b^2–2b+3$ in terms of a.

1. 2a² - 20a + 48

2. 4a² - 20a + 57

3. 5a² - 20a + 51

4. a² + 5a + 16

Q. $(x+1)(x+2)$ = .

1. $x^2+3x+2$
2. $x^2-3x+2$
3. $x^2+3x-2$

Q.

Which of the following do not show the visualization of (x+a)(x+b) ?

1. \N
2. \N
3. \N

Q.

Visualize (x+2)(x+3).

1. \N

Q. solve √11+2√30

Q.

Which of the following shows the visualization of (x+a)(x+b) ?

1. \N

Q.

Which of the following shows the visualization of (x+a)(x+b) ?

1. 

2. 

3. 

4. 

Q. $(x+a)(x+b)$ =.

1. $x^2+(a+b)+ab$
2. $x^2+(a+b)x+ab$
3. $x^2+(ax+b)+ab$

Q.

Which of the following do not show the visualization of (x+a)(x+b) ?

1. 

2. 

3. 

4. 

Q.

Visualize (x+2)(x+3).

1. 

2. 

3. 

4.