Question
If a hyperbola passing through the origin has 
and 
as its asymptotes, then the equation of its tranvsverse and conjugate axes are
and 
and 
and 
and
and
and
and
and
Hint:
An asymptote of a curve in analytical geometry is a line where the distance between the curve and the line tends to zero. Here we have given hyperbola passing through the origin has and as its asymptotes, we have to find the equation of its transverse and conjugate axes.
The correct answer is: and
a line or curve that serves as the boundary of another line or curve in mathematics. An example of an asymptotic curve is a descending curve that approaches but does not reach the horizontal axis, which is the asymptote of the curve.
The transverse axis is the bisector containing origin, and the hyperbola's axes are the bisectors of the pair of asmptodes.
So we have:
Here we used the concept of polar coordinate system and also the trigonometric ratios to find the solution. 
Related Questions to study
Five distinct letters are to be transmitted through a communication channel. A total number of 15 blanks is to be inserted between the two letters with at least three between every two. The number of ways in which this can be done is -
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{1, 2, … 100} such that 7m + 7n is divisible by 5 is -
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If the line 
is a normal to the hyperbola 
then 
So here we understood the concept of hyperbola and the normal lines.In analytic geometry, a hyperbola is a conic section created when a plane meets a double right circular cone at an angle that overlaps both cone halves. So the value of 
.
If the line is a normal to the hyperbola then
So here we understood the concept of hyperbola and the normal lines.In analytic geometry, a hyperbola is a conic section created when a plane meets a double right circular cone at an angle that overlaps both cone halves. So the value of .
If the tangents drawn from a point on the hyperbola 
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So here we understood the concept of hyperbola and the normal lines.In analytic geometry, a hyperbola is a conic section created when a plane meets a double right circular cone at an angle that overlaps both cone halves. So the correct relation is 
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If r, s, t are prime numbers and p, q are the positive integers such that the LCM of p, q is r2t4s2, then the number of ordered pair (p, q) is –
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nCr + 2nCr+1 + nCr+2 is equal to (2 r n)
nCr + 2nCr+1 + nCr+2 is equal to (2 r n)
The coefficient of 
in 
is
The coefficient of in is
How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which not two S are adjacent ?
The different ways in which items from a set may be chosen, usually without replacement, to construct subsets, are called permutations and combinations. When the order of the selection is a consideration, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination. So the final answer is 
.
How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which not two S are adjacent ?
The different ways in which items from a set may be chosen, usually without replacement, to construct subsets, are called permutations and combinations. When the order of the selection is a consideration, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination. So the final answer is .
