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The pair of equations x = a and y = b graphically represents lines which are
- a)parallel
- b)intersecting at (b, a)
- c)coincident
- d)intersecting at (a, b)
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The pair of equations x = a and y = b graphically represents lines whi...
By graphically in every condition, if a, b>>0; a, b< 0, a>0, b< 0; a<0, b>0 but a = b≠ 0.
The pair of equations x = a and y = b graphically represents lines which are intersecting at (a, b).
If a, b > 0
Similarly, in all cases two lines intersect at (a, b).
The pair of equations x = a and y = b graphically represents lines which are intersecting at (a, b).
If a, b > 0
Similarly, in all cases two lines intersect at (a, b).
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The pair of equations x = a and y = b graphically represents lines whi...
Given pair of equations are x = a and y = b.
Interpretation of the equations:
- The equation x = a represents a vertical line passing through the point (a, 0) on x-axis.
- The equation y = b represents a horizontal line passing through the point (0, b) on y-axis.
To find the point of intersection of the given lines, we need to substitute x = a in y = b equation or y = b in x = a equation. This gives us the common point (a, b).
Therefore, the pair of equations x = a and y = b represent lines intersecting at (a, b).
Hence, the correct answer is option D - intersecting at (a, b).
Interpretation of the equations:
- The equation x = a represents a vertical line passing through the point (a, 0) on x-axis.
- The equation y = b represents a horizontal line passing through the point (0, b) on y-axis.
To find the point of intersection of the given lines, we need to substitute x = a in y = b equation or y = b in x = a equation. This gives us the common point (a, b).
Therefore, the pair of equations x = a and y = b represent lines intersecting at (a, b).
Hence, the correct answer is option D - intersecting at (a, b).
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