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P Pankaj Sanodiya
Given a Hyperbola equation, Can also be written as  Comparing this equation with the standard equation of the hyperbola: We get,  and  Now, As we know the relation in a hyperbola, Hence,  Coordinates of the foci: The Coordinates of vertices: The Eccentricity: The Length of the latus rectum :

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P Pankaj Sanodiya
Given a Hyperbola equation, Can also be written as  Comparing this equation with the standard equation of the hyperbola: We get,  and  Now, As we know the relation in a hyperbola, Here as we can see from the equation that the axis of the hyperbola is Y-axis. So,  Coordinates of the foci: The Coordinates of vertices: The Eccentricity: The Length of the latus rectum :

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P Pankaj Sanodiya
Given a Hyperbola equation, Can also be written as  Comparing this equation with the standard equation of the hyperbola: We get,  and  Now, As we know the relation in a hyperbola, Here as we can see from the equation that the axis of the hyperbola is X -axis. So,  Coordinates of the foci: The Coordinates of vertices: The Eccentricity: The Length of the latus rectum :

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P Pankaj Sanodiya
Given, in an ellipse Major axis on the x-axis and passes through the points (4,3) and (6,2). Since The major axis of this ellipse is on the  X-axis, the equation of the ellipse will be of the form:   Where  and are the length of the semimajor axis and semiminor axis respectively. Now since the ellipse passes through the point,(4,3) since the ellipse also passes through the point (6,2). On...

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P Pankaj Sanodiya
Given,In an ellipse,    b = 3, c = 4, centre at the origin; foci on the x axis. Here  foci of the ellipse are in X-axis so the major axis of this ellipse will be X-axis. Therefore, the equation of the ellipse will be of the form:   Where  and are the length of the semimajor axis and semiminor axis respectively. Also Given,   and  Now, As we know the relation, Hence, The Equation of the...

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P Pankaj Sanodiya
Given, In an ellipse,  V Foci (± 3, 0), a = 4 Here foci of the ellipse are in X-axis so the major axis of this ellipse will be X-axis. Therefore, the equation of the ellipse will be of the form:   Where  and are the length of the semimajor axis and semiminor axis respectively. So on comparing standard parameters( vertices and foci) with the given one, we get   and  Now, As we know the...

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P Pankaj Sanodiya
Given, In an ellipse,   Length of minor axis 16, foci (0, ± 6). Here, the focus of the ellipse is on the  Y-axis so the major axis of this ellipse will be Y-axis. Therefore, the equation of the ellipse will be of the form:   Where  and are the length of the semimajor axis and semiminor axis respectively. So on comparing standard parameters( length of semi-minor axis and foci) with the given...

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P Pankaj Sanodiya
Given, In an ellipse,  Length of major axis 26, foci (± 5, 0) Here, the focus of the ellipse is in X-axis so the major axis of this ellipse will be X-axis. Therefore, the equation of the ellipse will be of the form:   Where  and are the length of the semimajor axis and semiminor axis respectively. So on comparing standard parameters( Length of semimajor axis and foci) with the given one, we...

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P Pankaj Sanodiya
Given, In an ellipse,   Ends of the major axis (0, ± ), ends of minor axis (± 1, 0) Here, the major axis of this ellipse will be Y-axis. Therefore, the equation of the ellipse will be of the form:   Where  and are the length of the semimajor axis and semiminor axis respectively. So on comparing standard parameters( ends of the major and minor axis ) with the given one, we get   and  Hence, The...

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P Pankaj Sanodiya
Given, In an ellipse,  Ends of the major axis (± 3, 0), ends of minor axis (0, ± 2) Here, the major axis of this ellipse will be X-axis. Therefore, the equation of the ellipse will be of the form:   Where  and are the length of the semimajor axis and semiminor axis respectively. So on comparing standard parameters( ends of the major and minor axis ) with the given one, we get   and  Hence, The...

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P Pankaj Sanodiya
Given, In an ellipse,   Vertices (± 6, 0), foci (± 4, 0) Here Vertices and focus of the ellipse are in X-axis so the major axis of this ellipse will be X-axis. Therefore, the equation of the ellipse will be of the form:   Where  and are the length of the semimajor axis and semiminor axis respectively. So on comparing standard parameters( vertices and foci) with the given one, we get   and  Now,...

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P Pankaj Sanodiya
Given, In an ellipse,   Vertices (0, ± 13), foci (0, ± 5) Here Vertices and focus of the ellipse are in Y-axis so the major axis of this ellipse will be Y-axis. Therefore, the equation of the ellipse will be of the form:   Where  and are the length of the semimajor axis and semiminor axis respectively. So on comparing standard parameters( vertices and foci) with the given one, we...

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P Pankaj Sanodiya
Given, In an ellipse,  Vertices (± 5, 0), foci (± 4, 0) Here Vertices and focus of the ellipse are in X-axis so the major axis of this ellipse will be X-axis. Therefore, the equation of the ellipse will be of the form:   Where  and are the length of the semimajor axis and semiminor axis respectively. So on comparing standard parameters( vertices and foci) with the given one, we get   and  Now,...

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P Pankaj Sanodiya
Given The equation of the ellipse As we can see from the equation, the major axis is along X-axis and the minor axis is along Y-axis. On comparing the given equation with the standard equation of an ellipse, which is  We get   and . So, Hence, Coordinates of the foci:   The vertices: The length of the major axis: The length of minor axis: The eccentricity : The length of the latus rectum:

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P Pankaj Sanodiya
Given The equation of the ellipse As we can see from the equation, the major axis is along Y-axis and the minor axis is along X-axis. On comparing the given equation with the standard equation of such  ellipse, which is  We get   and . So, Hence, Coordinates of the foci:   The vertices: The length of the major axis: The length of minor axis: The eccentricity : The length of the latus rectum:

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P Pankaj Sanodiya
Given The equation of the ellipse As we can see from the equation, the major axis is along Y-axis and the minor axis is along X-axis. On comparing the given equation with the standard equation of such  ellipse, which is  We get   and . So, Hence, Coordinates of the foci:   The vertices: The length of the major axis: The length of minor axis: The eccentricity : The length of the...

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P Pankaj Sanodiya
Given The equation of the ellipse As we can see from the equation, the major axis is along Y-axis and the minor axis is along X-axis. On comparing the given equation with the standard equation of such  ellipse, which is  We get   and . So, Hence, Coordinates of the foci:   The vertices: The length of the major axis: The length of minor axis: The eccentricity : The length of the latus rectum:

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P Pankaj Sanodiya
Given The equation of ellipse As we can see from the equation, the major axis is along X-axis and the minor axis is along Y-axis. On comparing the given equation with standard equation of ellipse, which is  We get   and . So, Hence, Coordinates of the foci:   The vertices: The length of major axis: The length of minor axis: The eccentricity : The length of the latus rectum:

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P Pankaj Sanodiya
Given The equation of the ellipse As we can see from the equation, the major axis is along Y-axis and the minor axis is along X-axis. On comparing the given equation with the standard equation of such  ellipse, which is  We get   and . So, Hence, Coordinates of the foci:   The vertices: The length of the major axis: The length of minor axis: The eccentricity : The length of the latus rectum:

View All Answers (1)

P Pankaj Sanodiya
Given The equation of the ellipse As we can see from the equation, the major axis is along X-axis and the minor axis is along Y-axis. On comparing the given equation with the standard equation of an ellipse, which is  We get   and . So, Hence, Coordinates of the foci:   The vertices: The length of the major axis: The length of minor axis: The eccentricity : The length of the latus rectum:
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