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The lines 8x + 4y = 1, 8x + 4y = 5, 4x + 8y = 3, 4x + 8y = 7 form a
- a)Square
- b)Rectangle
- c)rhombus
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The lines 8x + 4y = 1, 8x + 4y = 5, 4x + 8y = 3, 4x + 8y = 7 form aa)S...
Explanation:
The given set of lines are:
8x 4y = 1 ...(1)
8x 4y = 5 ...(2)
4x 8y = 3 ...(3)
4x 8y = 7 ...(4)
We can rewrite the equations in the form y = mx + c:
Equation (1): y = -2x + 1/4
Equation (2): y = -2x + 5/4
Equation (3): y = 1/2x + 3/8
Equation (4): y = 1/2x + 7/8
Now, we can plot the lines on a graph to see their intersection points and check if they form a rhombus.
As we can see from the graph, the lines intersect at four points forming a quadrilateral. We can also observe that all four sides of the quadrilateral are of equal length. Hence, the quadrilateral formed by the given set of lines is a rhombus.
Therefore, the correct answer is option C.
The given set of lines are:
8x 4y = 1 ...(1)
8x 4y = 5 ...(2)
4x 8y = 3 ...(3)
4x 8y = 7 ...(4)
We can rewrite the equations in the form y = mx + c:
Equation (1): y = -2x + 1/4
Equation (2): y = -2x + 5/4
Equation (3): y = 1/2x + 3/8
Equation (4): y = 1/2x + 7/8
Now, we can plot the lines on a graph to see their intersection points and check if they form a rhombus.
As we can see from the graph, the lines intersect at four points forming a quadrilateral. We can also observe that all four sides of the quadrilateral are of equal length. Hence, the quadrilateral formed by the given set of lines is a rhombus.
Therefore, the correct answer is option C.
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The lines 8x + 4y = 1, 8x + 4y = 5, 4x + 8y = 3, 4x + 8y = 7 form aa)Squareb)Rectanglec)rhombusd)None of theseCorrect answer is option 'C'. Can you explain this answer?
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