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A parabola has focus at (0, 0) and passes through the points (4, 3) and (–4, –3). The number of lattice points (x, y) on the parabola such that |4x + 3y| < 1000 is
- a)20
- b)100
- c)40
- d)80
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A parabola has focus at (0, 0) and passes through the points (4, 3) an...
The expression you'll find is 4x+3y=1250n+50p−25, n being a integer and p being a positive integer that is less than 125050
Then, you can build a simple excel file to exhaust the answers from 1250n+25
View all questions of this test
Then, you can build a simple excel file to exhaust the answers from 1250n+25
to 1250n+1225. It turns out that only when n=0 or 1 are the criteria satisfied, and in each case there are 20 of the pairs.
So B.40
Most Upvoted Answer
A parabola has focus at (0, 0) and passes through the points (4, 3) an...
-4, 3). To find the equation of this parabola, we can use the formula for the general equation of a parabola in vertex form:
(y - k) = a(x - h)^2
where (h, k) is the vertex of the parabola.
Since the focus is at (0, 0), the vertex is also at (0, 0).
Using the point (4, 3), we can substitute these values into the equation:
(3 - 0) = a(4 - 0)^2
3 = 16a
a = 3/16
So the equation of the parabola is:
y = (3/16)x^2
(y - k) = a(x - h)^2
where (h, k) is the vertex of the parabola.
Since the focus is at (0, 0), the vertex is also at (0, 0).
Using the point (4, 3), we can substitute these values into the equation:
(3 - 0) = a(4 - 0)^2
3 = 16a
a = 3/16
So the equation of the parabola is:
y = (3/16)x^2
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A parabola has focus at (0, 0) and passes through the points (4, 3) and (–4, –3). The number of lattice points (x, y) on the parabola such that |4x + 3y|<1000 isa)20b)100c)40d)80Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A parabola has focus at (0, 0) and passes through the points (4, 3) and (–4, –3). The number of lattice points (x, y) on the parabola such that |4x + 3y|<1000 isa)20b)100c)40d)80Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A parabola has focus at (0, 0) and passes through the points (4, 3) and (–4, –3). The number of lattice points (x, y) on the parabola such that |4x + 3y|<1000 isa)20b)100c)40d)80Correct answer is option 'D'. Can you explain this answer?.
A parabola has focus at (0, 0) and passes through the points (4, 3) and (–4, –3). The number of lattice points (x, y) on the parabola such that |4x + 3y|<1000 isa)20b)100c)40d)80Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A parabola has focus at (0, 0) and passes through the points (4, 3) and (–4, –3). The number of lattice points (x, y) on the parabola such that |4x + 3y|<1000 isa)20b)100c)40d)80Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A parabola has focus at (0, 0) and passes through the points (4, 3) and (–4, –3). The number of lattice points (x, y) on the parabola such that |4x + 3y|<1000 isa)20b)100c)40d)80Correct answer is option 'D'. Can you explain this answer?.
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A parabola has focus at (0, 0) and passes through the points (4, 3) and (–4, –3). The number of lattice points (x, y) on the parabola such that |4x + 3y|<1000 isa)20b)100c)40d)80Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A parabola has focus at (0, 0) and passes through the points (4, 3) and (–4, –3). The number of lattice points (x, y) on the parabola such that |4x + 3y|<1000 isa)20b)100c)40d)80Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A parabola has focus at (0, 0) and passes through the points (4, 3) and (–4, –3). The number of lattice points (x, y) on the parabola such that |4x + 3y|<1000 isa)20b)100c)40d)80Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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