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Find the equation of the line whose intercepts on X and Y-axes are a2 and b2 respectively
- a)bx + ay = ab
- b)b2x + a2b2y = a2
- c)b2a2x + a2y = b2
- d)b2x + a2y = a2b2
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Find the equation of the line whose intercepts on X and Y-axes are a2a...
Consider the given points. (a2,0) and (0,b2)
We know that the equation of the line which is passing through the points
y−y1 =[ (y2−y1) / (x2−x1)] (x−x1)
So, y−0 = b2−0/0-a2(x-a2)
-ya2 - b2x = -b2a2
xb2 +ya2 = b2a2
We know that the equation of the line which is passing through the points
y−y1 =[ (y2−y1) / (x2−x1)] (x−x1)
So, y−0 = b2−0/0-a2(x-a2)
-ya2 - b2x = -b2a2
xb2 +ya2 = b2a2
Most Upvoted Answer
Find the equation of the line whose intercepts on X and Y-axes are a2a...
Consider the given points. (a2,0) and (0,b2)
We know that the equation of the line which is passing through the points
y−y1 =[ (y2−y1) / (x2−x1)] (x−x1)
So, y−0 = b2−0/0-a2(x-a2)
-ya2 - b2x = -b2a2
xb2 +ya2 = b2a2
We know that the equation of the line which is passing through the points
y−y1 =[ (y2−y1) / (x2−x1)] (x−x1)
So, y−0 = b2−0/0-a2(x-a2)
-ya2 - b2x = -b2a2
xb2 +ya2 = b2a2
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Community Answer
Find the equation of the line whose intercepts on X and Y-axes are a2a...
Understanding Intercepts on Axes
To find the equation of a line based on its intercepts on the X and Y axes, we denote:
- The X-intercept as a2
- The Y-intercept as b2
These intercepts mean that the line crosses the X-axis at (a2, 0) and the Y-axis at (0, b2).
Equation of the Line Formulation
The general formula for a line based on its intercepts is given by:
- x/a + y/b = 1
Substituting a = a2 and b = b2 gives the equation:
- x/a2 + y/b2 = 1
To convert this into a more standard form, we can rearrange it:
- b2x + a2y = a2b2
This is the desired equation of the line.
Identifying the Correct Option
Now let's look at the provided options:
a) bx + ay = ab
b) b2x + a2b2y = a2
c) b2a2x + a2y = b2
d) b2x + a2y = a2b2
The derived equation b2x + a2y = a2b2 matches option 'D'.
Conclusion
Thus, the correct answer to the question is option 'D', which clearly represents the equation of a line with specified intercepts on the X and Y axes. This understanding is crucial for solving similar problems in the JEE examination and helps in grasping the concept of linear equations in two dimensions.
To find the equation of a line based on its intercepts on the X and Y axes, we denote:
- The X-intercept as a2
- The Y-intercept as b2
These intercepts mean that the line crosses the X-axis at (a2, 0) and the Y-axis at (0, b2).
Equation of the Line Formulation
The general formula for a line based on its intercepts is given by:
- x/a + y/b = 1
Substituting a = a2 and b = b2 gives the equation:
- x/a2 + y/b2 = 1
To convert this into a more standard form, we can rearrange it:
- b2x + a2y = a2b2
This is the desired equation of the line.
Identifying the Correct Option
Now let's look at the provided options:
a) bx + ay = ab
b) b2x + a2b2y = a2
c) b2a2x + a2y = b2
d) b2x + a2y = a2b2
The derived equation b2x + a2y = a2b2 matches option 'D'.
Conclusion
Thus, the correct answer to the question is option 'D', which clearly represents the equation of a line with specified intercepts on the X and Y axes. This understanding is crucial for solving similar problems in the JEE examination and helps in grasping the concept of linear equations in two dimensions.
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Find the equation of the line whose intercepts on X and Y-axes are a2and b2respectivelya)bx + ay = abb)b2x + a2b2y = a2c)b2a2x + a2y = b2d)b2x + a2y = a2b2Correct answer is option 'D'. Can you explain this answer? for JEE 2026 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Find the equation of the line whose intercepts on X and Y-axes are a2and b2respectivelya)bx + ay = abb)b2x + a2b2y = a2c)b2a2x + a2y = b2d)b2x + a2y = a2b2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the equation of the line whose intercepts on X and Y-axes are a2and b2respectivelya)bx + ay = abb)b2x + a2b2y = a2c)b2a2x + a2y = b2d)b2x + a2y = a2b2Correct answer is option 'D'. Can you explain this answer?.
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