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y = 3 

y = -4 

y = 6

Equation of a line parallel to y-axis passing through (a, b) is x = a 

Thus, 

Equation of a line passing through the point (-4, 6) and parallel toy-axis is x = -4

B) 2y – 3 = y + 1

Given, 

Point (a,2) lies on the graph of the linear equation 2x - 3y + 8 = 0 

Thus, 

(a, 2) satisfies the equation 

⇒ 2a – 6 + 8 = 0 

⇒ 2a = - 2 

⇒ a = - 1

Option : (B)

Given, 

(4, 19) is a solution of the equation y = ax + 3 

⇒ 19 = 4a + 3 

⇒ a = 4

3y = ax + 7 

If point (3, 4) then a = ? 

3y = ax + 7 

3(4) = a(3) + 7 

∵ x = 3, y = 4 

12 = 3a + 7 

3a + 7 = 12 

3a = 12 – 7 

3a = 5 

∴ a = \(\frac{5}{3}\)

Correct option is  B) 2 units

Correct option is  A) (-2,0)

Given, 

(1,-2) lies on the graph of the linear equation x - 2y + k = 0 

Thus, 

(1, -2) satisfies the equation 

⇒ 1 + 4 + k = 0 

⇒ k = - 5

Correct option is  B) y = 0

Correct option is  B) 3 units

C) Third quadrant

Correct option is (B) 3 units

The distance between origin (0, 0) and point (-3, 0)

= \(\sqrt{(-3-0)^2+(0-0)^2}\)

= \(\sqrt{9+0}\) = 3 units

Correct option is  B) 3 units

Correct option is (B) 3 units

The distance of the point (2, -3) from X-axis

= y-coordinate

= -3

= 3 units    \((\because\) Distance never be negative)

Correct option is  B) 3 units

Correct Answer is: (D) Hydroxy Dimethyl benzene

Answer is (B) Phenol

Answer is (D) Hydroxy dimethyl benzene

Given that, vector|a + b| = vector|a - b|

squaring both side,

vector(a + b)² = vector(a - b)²

= a² + b² + 2 vector(a.b) = a² + b² - 2 vector(a.b)

4 vector(a.b) = 0

vector(a.b) = 0

Thus, vector a is perpendicular to vector b.

Answer is (d) vector a = 0 or vector b = 0  

\({|\vec a-\vec b|}^2-{(|\vec a|+|\vec b|)}^2\)

⇒\(|\vec a|^2+|\vec b|^2-2\,|\vec a|\,|\vec b|\,cos\, \theta-|\vec a|^2-|\vec b|^2-2|\vec a||\vec b|\)

⇒-4| a | | b | \(cos^2\frac{\theta}{2}\)

= a negative quantity

Hence,  \(|\vec a- \vec b|<|\vec a|+|\vec b|\)

Answer is (b) (x - y)(y - z)(z - x)

Some people do not remember to take medicines with them.They forget to have medicines with them because of their dislike for pills of medicines. Most of the people do not like to use medicines as they hesitate to have them. Actually they neglect the medicines.

Answer is (a) x(dy/dx) = y

Answer is (b) - e^-x

Answer is (a) 2π/3

Answer is (b) -sin(sin x)cos x

Answer is (a) 1/36

Take log x = t

So we get

1/x dx = dt

By integrating w.r.t. t

∫cos t dt = sin t + c

By substituting the value of t

= sin (log x) + c

Answer is (b) log(sin x + cos x) + c

Let the number of days is x

\(\frac{1.2\times 10^8}{15}\) = \(\frac{4.8\times 10^8}{x}\)

On cross multiplication, we get

1.2 x 10⁸ x x = 15 x 4.8 x 10⁸

x = \(\frac{15\times 4.8\times 10^8}{1.2 \times 10^8}\) = 60

Therefore the number of days required to pick up the dust is 60 days

Answer is (b) 2 sin x  k

Let the weight of dust picked up is x pounds

\(\frac{10}{2.6\times 10^8}\) = \(\frac{45}{x}\)

On cross multiplication, we get

10 x x = 45 x 2.6 x 10⁸

x = \(\frac{45\times 2.6\times 10^8}{10}\) = 11.7 x 10⁸

Therefore the weight of dust picked up is 11.7 × 10⁸ pounds

Answer is (C) 2e^√x

The action attribute in an HTML form species the file name the data to be submitted. When the submit button in the form is clicked the data is submitted to the file specified in the action attribute.

The difference between GET and POST method is given below.

d) strlen($variable)

$ASK is not a predefined variable

Get should not be used while sending password or other sensitive information.

(c) everyone.

Answer is (b) print()

echo printing constructs accepts multiple parameters

(d) $_Request

(a) There is an error

Un terminated comment line The correct code is as follows <!--?php /‘print a line of output*/ echo’hello’-->

<?php

/‘print a line of output*/

echo’hello’

?>

(b) no error. 

(c) String must be enclosed in single or double quotes. The correct code is as follows.

<?php

echo’Line 1‘;

?>

d) database name

(a) 1, 4, 2, 3, 5.

In PHP each and every statement must be end with semicolon. There is an exception for the last statement. For the last statement of PHP code semicolon is not compulsory.

Sip Formerly it is known as Personal Home Pages. Nowadays PHP stands for PHP Hypertext Preprocessor. Normally, it runs on a web server.

Benefits of using PHP

Client side scripts(JavaScript) are run faster but it has some limitations. The limitations are we can view the source code hence it is less secure. On the other hand PHP is executed on the server and the result is sent back to the client (browser) so it is impossible to view the source code. 

Benefits of PHP are given below 

• As PHP can be easily embedded into HTML moreover its easiness to convert a static website into dynamic one.
• It is compatible with almost all databases
• It is platform independent can run on almost all OS (Windows, Linux, MAC) It is simple and easy to learn
• It uses very small amount of system resources to run and faster.
• PHP provides security to prevent malicious attacks. 
• Open source community supports PHP
• It is a free s/w by all means hence can be used to develop all types of web sites.

Client side scripts(JavaScript) are run faster but it has some limitations. The limitations are we can view the source code hence it is less secure. On the other hand PHP is executed on the server and the result is sent back to the client(browser) so it is impossible to view the source code.

Benefits of using PHP

Client side scripts(JavaScript) are run faster but it has some limitations. The limitations are we can view the source code hence it is less secure. On the other hand PHP is executed on the server and the result is sent back to the client(browser) so it is impossible to view the source code.

Benefits of PHP are given below 

• As PHP can be easily embedded into HTML moreover its easiness to convert a static website into a dynamic one.
• It is compatible with almost all databases
• It is platform independent can run on almost all OS (Windows, Linux, MAC)
• It is simple and easy to learn 
• It uses very small amount of system resources to run and faster.
• PHP provides security to prevent malicious attacks.
• Open source community supports PHP
• It is a free s/w by all means hence can be used to develop all types of web sites.

Escape sequences It is a character preceded by a back slash(\)