Class 9 Exam > Class 9 Questions > Point P(2,-3) lies on the line represented by...
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Point P(2,-3) lies on the line represented by the equation:
- a)x + 2y = 0
- b)x + y = 1
- c)2x + y = 1
- d)2x + 2y = 0
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Point P(2,-3) lies on the line represented by the equation:a)x + 2y = ...
Solution:
To check which equation represents the line passing through point P(2,-3), we need to substitute the coordinates of P into each equation and see which one satisfies the equation.
Let's check each option one by one:
a) x + 2y = 0
Substituting (2,-3) into this equation:
2 + 2(-3) = -4
The point (2,-3) does not satisfy the equation, so this is not the correct option.
b) x + y = 1
Substituting (2,-3) into this equation:
2 + (-3) = -1
The point (2,-3) does not satisfy the equation, so this is not the correct option.
c) 2x + y = 1
Substituting (2,-3) into this equation:
2(2) + (-3) = 1
The point (2,-3) satisfies the equation, so this is the correct option.
d) 2x + 2y = 0
Substituting (2,-3) into this equation:
2(2) + 2(-3) = -2
The point (2,-3) does not satisfy the equation, so this is not the correct option.
Therefore, the equation that represents the line passing through point P(2,-3) is 2x + y = 1, option C.
To check which equation represents the line passing through point P(2,-3), we need to substitute the coordinates of P into each equation and see which one satisfies the equation.
Let's check each option one by one:
a) x + 2y = 0
Substituting (2,-3) into this equation:
2 + 2(-3) = -4
The point (2,-3) does not satisfy the equation, so this is not the correct option.
b) x + y = 1
Substituting (2,-3) into this equation:
2 + (-3) = -1
The point (2,-3) does not satisfy the equation, so this is not the correct option.
c) 2x + y = 1
Substituting (2,-3) into this equation:
2(2) + (-3) = 1
The point (2,-3) satisfies the equation, so this is the correct option.
d) 2x + 2y = 0
Substituting (2,-3) into this equation:
2(2) + 2(-3) = -2
The point (2,-3) does not satisfy the equation, so this is not the correct option.
Therefore, the equation that represents the line passing through point P(2,-3) is 2x + y = 1, option C.
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Community Answer
Point P(2,-3) lies on the line represented by the equation:a)x + 2y = ...
2(2)+(-3)=12×2+-3=14+-3=11=1
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Point P(2,-3) lies on the line represented by the equation:a)x + 2y = 0b)x + y = 1c)2x + y = 1d)2x + 2y = 0Correct answer is option 'C'. Can you explain this answer?
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