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All questions of Graph of linear equation for DSSSB TGT/PGT/PRT Exam

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——————- 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..

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.

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?

Moumita Mishra answered
Explanation:

When a line intercepts the x-axis, it means that it intersects the x-axis at some point where y-coordinate is zero. So, the point of x-intercept will be (x,0) where x is the value of x-intercept.

Given, the point of intersection with x-axis is (-7,0).

Therefore, the x-intercept is -7.

Hence, the correct answer is option 'A'.

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?

Sarita Reddy answered
Line x=3 has special form - it is not from the same family of lines in the form y=mx+b.

Slope is not defined for a line x=3 because it represents vertical line.

Remember the definition of slope. In common words, it is the value that tells us how much is line increasing/decreasing as we move from left to right on the graph. That is why horizontal lines have zero slope - no increase nor decrease on horizontal line.

Now, imagine vertical line. In only 1 point it increases in infinity. Thus, we cannot use any real value of m to describe this behaviour.

Chapter doubts & questions for Graph of linear equation - Arithmetic Ability for DSSSB exams 2024 is part of DSSSB TGT/PGT/PRT exam preparation. The chapters have been prepared according to the DSSSB TGT/PGT/PRT exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for DSSSB TGT/PGT/PRT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

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