All questions of Graph of linear equation for Delhi Police Constable Exam

2x + 4 = 3x + 1 will represent a.
  • a)
    Line parallel to X-axis at distance 3 units upwards
  • b)
    Line parallel to X-axis at distance 3 units downwards
  • c)
    Line parallel to Y-axis at distance 3 units left side
  • d)
    Line parallel to Y-axis at distance 3 units on right side
Correct answer is option 'D'. Can you explain this answer?

Anika Reddy answered
Solution:

Given equation is 2x - 4 = 3x - 1.

To find the line parallel to the Y-axis at a distance of 3 units on the right side, we need to first solve the given equation for x.

2x - 4 = 3x - 1
Subtracting 2x from both sides, we get
-4 = x - 1
Adding 1 to both sides, we get
-3 = x

Therefore, the value of x is -3.

To find the line parallel to the Y-axis at a distance of 3 units on the right side, we need to draw a vertical line passing through x = -3 and then shift it 3 units to the right.

Hence, the correct option is D - Line parallel to Y-axis at a distance of 3 units on the right side.

HTML Representation:

Solution:

Given equation: 2x - 4 = 3x - 1.

To find the line parallel to the Y-axis at a distance of 3 units on the right side, we need to first solve the given equation for x.

2x - 4 = 3x - 1

Subtracting 2x from both sides, we get
-4 = x - 1

Adding 1 to both sides, we get
-3 = x

Therefore, the value of x is -3.

To find the line parallel to the Y-axis at a distance of 3 units on the right side, we need to draw a vertical line passing through x = -3 and then shift it 3 units to the right.

Hence, the correct option is D - Line parallel to Y-axis at a distance of 3 units on the right side.

——————- is the equation of y-axis.
  • a)
    y = 1
  • b)
    x = 0
  • c)
    y = -1
  • d)
    y = 0
Correct answer is option 'B'. Can you explain this answer?

Preetam Pyare answered
Since Every Equation lies on y-axis AtQ.. So, 'x' coordinate of eqn. might be 0 and 'y' Coordinate can be any integer.so,x=0 is the equation of y-axis.Hence,Option(B) is d correct answer..

A line intercepts the x axis at (-7, 0), so its x intercept is​
  • a)
    -7
  • b)
    -7/2
  • c)
    -7/4
  • d)
    7
Correct answer is option 'A'. Can you explain this answer?

Ravi Verma answered
The x-intercept of a line is the x-coordinate of the point where the line crosses the x-axis.
Given that the line intercepts the x-axis at (-7, 0), the x-intercept is -7.
So, the correct answer is Option 1: -7.

The line x = 3 is
  • a)
    A line meeting both x and y axis
  • b)
    A line passing through origin
  • c)
    A horizontal line
  • d)
    A vertical line
Correct answer is option 'D'. Can you explain this answer?

Ritika Basak answered
Vertical Line Explanation:
Vertical lines are lines that run straight up and down, parallel to the y-axis on a coordinate plane. When the equation of a line is in the form x = a, where 'a' is a constant, it represents a vertical line passing through the point (a, 0) on the x-axis.

Explanation of x = 3:
The equation x = 3 represents a vertical line passing through the point (3, 0) on the x-axis. This means that all the points on this line will have an x-coordinate of 3, but their y-coordinates can vary. The line will be parallel to the y-axis and will not intersect it, making it a vertical line.

Characteristics of x = 3:
- The line x = 3 is a vertical line.
- It passes through the point (3, 0) on the x-axis.
- It is parallel to the y-axis.
- It does not intersect the y-axis.
Therefore, the line x = 3 is a vertical line that passes through the point (3, 0) on the x-axis.

Which of the following statements is true regarding reflection of light?
  • a)
    The angle of incidence is always greater than the angle of reflection
  • b)
    The angle of incidence is always equal to the angle of reflection
  • c)
    The angle of incidence is always smaller than the angle of reflection
  • d)
    The angle of incidence and angle of reflection are not related
Correct answer is option 'B'. Can you explain this answer?

Let's Tute answered
The correct answer is B: The angle of incidence is always equal to the angle of reflection.
  • This principle is known as the Law of Reflection.
  • It states that when a light ray hits a smooth surface, the angle at which it arrives (angle of incidence) is equal to the angle at which it leaves (angle of reflection).
  • Both angles are measured from the normal, an imaginary line perpendicular to the surface at the point of incidence.

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