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What will be the value of ‘p” if the equation of the straight line 3x + 5y = 10 gets changed to 3x + 5y = p after shifting the origin at (2,2) ?
- a)6
- b)-6
- c)26
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
What will be the value of ‘p” if the equation of the strai...
3x + 5y = 10, at origin
But now, it’s (2,2),
3(x-2) + 5(y-2) = 10
Hence, 3x - 6 + 5y - 10 = 10
3x + 5y = 26
So, 3x + 5y = p
=> p = 26.
But now, it’s (2,2),
3(x-2) + 5(y-2) = 10
Hence, 3x - 6 + 5y - 10 = 10
3x + 5y = 26
So, 3x + 5y = p
=> p = 26.
Most Upvoted Answer
What will be the value of ‘p” if the equation of the strai...
3x + 5y = 10, at origin
But now, it’s (2,2),
3(x-2) + 5(y-2) = 10
Hence, 3x - 6 + 5y - 10 = 10
3x + 5y = 26
So, 3x + 5y = p
=> p = 26.
But now, it’s (2,2),
3(x-2) + 5(y-2) = 10
Hence, 3x - 6 + 5y - 10 = 10
3x + 5y = 26
So, 3x + 5y = p
=> p = 26.
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Community Answer
What will be the value of ‘p” if the equation of the strai...
To shift the origin at (2,2), we need to subtract 2 from both x and y coordinates.
Given equation of the straight line: 3x - 5y = 10
To shift the origin, we substitute x = x' + 2 and y = y' + 2 in the equation, where x' and y' are the new coordinates.
Substituting the values, we get:
3(x' + 2) - 5(y' + 2) = 10
Expanding the equation:
3x' + 6 - 5y' - 10 = 10
Simplifying the equation:
3x' - 5y' - 4 = 0
Rearranging the terms:
3x' - 5y' = 4
Comparing this equation with the given equation 3x - 5y = p, we can see that p = 4.
Hence, the value of p is 4.
Thus, the correct answer is option C) 4.
Given equation of the straight line: 3x - 5y = 10
To shift the origin, we substitute x = x' + 2 and y = y' + 2 in the equation, where x' and y' are the new coordinates.
Substituting the values, we get:
3(x' + 2) - 5(y' + 2) = 10
Expanding the equation:
3x' + 6 - 5y' - 10 = 10
Simplifying the equation:
3x' - 5y' - 4 = 0
Rearranging the terms:
3x' - 5y' = 4
Comparing this equation with the given equation 3x - 5y = p, we can see that p = 4.
Hence, the value of p is 4.
Thus, the correct answer is option C) 4.
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