SOLUTION: The length of the latus rectum for the ellipse (x^2/64) + (y^2/16) = 1 is equal to: a)2 b)3 c)4 d)5

Question 539867: The length of the latus rectum for the ellipse (x^2/64) + (y^2/16) = 1 is equal to:
a)2
b)3
c)4
d)5
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
The length of the latus rectum for the ellipse (x^2/64) + (y^2/16) = 1 is equal to:
a)2
b)3
c)4
d)5
**
Standard form of equation for ellipse with horizontal major axis:
(x-h)^2/a^2+(y-k)^2/b^2=1,a>b, (h,k)=(x,y) coordinates of center
From given equation, b^2=16
a^2=64
a=8
Formula for length of the latus rectum for the ellipse: 2b^2/a
2b^2/2a=2*16/8=4
ans: c)4
RELATED QUESTIONS
Find the foci, eccentricity, length of latus rectum, and the x and y intercepts of the... (answered by MathLover1)

The equation {{{ y^2 + 4x + 4y + k = 0 }}} represents a parabola whose latus rectum is:... (answered by MathLover1)

(Y-2)^2= -16(x-3) Find the Vertex Focus Endpoints of latus rectum Directrix (answered by josgarithmetic)

Please help me solve this equation: if the latus rectum of an ellipse is 5 and... (answered by srinivas.g)

The center of an ellipse is the point (-4, 2) and one vertex is at (1, 2). The... (answered by lwsshak3)

(x-1)2=(12y-1).This is a 6 answer question my son is having trouble with. we need to find (answered by Nate)

Find the vertices, foci, eccentricity, and length of the latus rectum of the ellipse... (answered by lwsshak3)

For each equation of the parabola, (a) reduce to standard and then find the (b) direction (answered by josgarithmetic)

Dear Sir, Please help me solve this problem and please show me your solution. Given (answered by MathLover1)