Q. 85.0( 1 Vote )

Find the (i) leng

Answer :


Given:


…(i)



Since, 9 < 16


So, above equation is of the form,


…(ii)


Comparing eq. (i) and (ii), we get


a2 = 16 and b2 = 9


a = √16 and b = √9


a = 4 and b = 3


(i) To find: Length of major axes


Clearly, a < b, therefore the major axes of the ellipse is along y axes.


Length of major axes = 2a


= 2 × 4


= 8 units


(ii) To find: Coordinates of the Vertices


Clearly, a > b


Coordinate of vertices = (0, a) and (0, -a)


= (0, 4) and (0, -4)


(iii) To find: Coordinates of the foci


We know that,


Coordinates of foci = (0, ±c) where c2 = a2 – b2


So, firstly we find the value of c


c2 = a2 – b2


= 16 – 9


c2 = 7


c = √7 …(I)


Coordinates of foci = (0, ±√7)


(iv) To find: Eccentricity


We know that,



[from (I)]


(v) To find: Length of the Latus Rectum


We know that,





Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Find the ceRD Sharma - Mathematics

Find the ceRD Sharma - Mathematics

Given the ellipseMathematics - Exemplar

For the ellRD Sharma - Mathematics

For the ellRD Sharma - Mathematics

If the minoRD Sharma - Mathematics

Find the eqRD Sharma - Mathematics

If S and S’RD Sharma - Mathematics

The equation of tMathematics - Exemplar

Write the cRD Sharma - Mathematics