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22. If the relationship between x and y is given by 4x- 6y=13 and if the median of x is 16. Find median of y. (a) 7.50 (b) 8.00 (c) 8.50 (d) None of these.?
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22. If the relationship between x and y is given by 4x- 6y=13 and if t...
Given relationship between x and y:
4x - 6y = 13
To find: Median of y
Step 1: Find the equation of the line in y=mx+c form
4x - 6y = 13
-6y = -4x + 13
y = (2/3)x - (13/6)
So, the slope of the line is 2/3 and y-intercept is -13/6.
Step 2: Find the median of x which is given as 16
Step 3: Substitute the median value of x in the equation of the line to find the corresponding value of y
y = (2/3) × 16 - (13/6)
y = 10.33
Step 4: Find the equation of the line perpendicular to the given line
The slope of the perpendicular line is the negative reciprocal of the slope of the given line.
Slope of the given line = 2/3
Slope of the perpendicular line = -3/2
Let the equation of the perpendicular line be y = (-3/2)x + c
Step 5: Find the value of c by substituting the median values of x and y in the equation of the perpendicular line
10.33 = (-3/2) × 16 + c
c = 42.33
So, the equation of the perpendicular line is y = (-3/2)x + 42.33
Step 6: Find the median of y by substituting the equation of the perpendicular line in the equation of the given line
4x - 6y = 13
4x - 6((-3/2)x + 42.33) = 13
x = 22.17
Therefore, the median of y is (-3/2) × 22.17 + 42.33 = 8.00
Hence, the correct option is (b) 8.00
4x - 6y = 13
To find: Median of y
Step 1: Find the equation of the line in y=mx+c form
4x - 6y = 13
-6y = -4x + 13
y = (2/3)x - (13/6)
So, the slope of the line is 2/3 and y-intercept is -13/6.
Step 2: Find the median of x which is given as 16
Step 3: Substitute the median value of x in the equation of the line to find the corresponding value of y
y = (2/3) × 16 - (13/6)
y = 10.33
Step 4: Find the equation of the line perpendicular to the given line
The slope of the perpendicular line is the negative reciprocal of the slope of the given line.
Slope of the given line = 2/3
Slope of the perpendicular line = -3/2
Let the equation of the perpendicular line be y = (-3/2)x + c
Step 5: Find the value of c by substituting the median values of x and y in the equation of the perpendicular line
10.33 = (-3/2) × 16 + c
c = 42.33
So, the equation of the perpendicular line is y = (-3/2)x + 42.33
Step 6: Find the median of y by substituting the equation of the perpendicular line in the equation of the given line
4x - 6y = 13
4x - 6((-3/2)x + 42.33) = 13
x = 22.17
Therefore, the median of y is (-3/2) × 22.17 + 42.33 = 8.00
Hence, the correct option is (b) 8.00
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22. If the relationship between x and y is given by 4x- 6y=13 and if t...
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22. If the relationship between x and y is given by 4x- 6y=13 and if the median of x is 16. Find median of y. (a) 7.50 (b) 8.00 (c) 8.50 (d) None of these.?
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22. If the relationship between x and y is given by 4x- 6y=13 and if the median of x is 16. Find median of y. (a) 7.50 (b) 8.00 (c) 8.50 (d) None of these.? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about 22. If the relationship between x and y is given by 4x- 6y=13 and if the median of x is 16. Find median of y. (a) 7.50 (b) 8.00 (c) 8.50 (d) None of these.? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 22. If the relationship between x and y is given by 4x- 6y=13 and if the median of x is 16. Find median of y. (a) 7.50 (b) 8.00 (c) 8.50 (d) None of these.?.
22. If the relationship between x and y is given by 4x- 6y=13 and if the median of x is 16. Find median of y. (a) 7.50 (b) 8.00 (c) 8.50 (d) None of these.? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about 22. If the relationship between x and y is given by 4x- 6y=13 and if the median of x is 16. Find median of y. (a) 7.50 (b) 8.00 (c) 8.50 (d) None of these.? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 22. If the relationship between x and y is given by 4x- 6y=13 and if the median of x is 16. Find median of y. (a) 7.50 (b) 8.00 (c) 8.50 (d) None of these.?.
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