Find the (i) lengths of major and minor axes, (ii) coordinates of the vertices, (iii) coordinates of the foci, (iv) eccentricity, and (v) length of th

Monjur Alahi

Find the (i) lengths of major and minor axes, (ii) coordinates of the vertices, (iii) coordinates of the foci, (iv) eccentricity, and (v) length of the latus rectum of each of the following ellipses.
`16x^(2)+25y^(2)=400`


0 like 0 dislike
1 views
Share with your friends

1 Answers

Salim Ahmed Kawsar

Call

Correct Answer - (i) 10 units, 8 units (ii) ` A(-5, 0) and B(5, 0) " "` (iii) `F_(1) (-3, 0) and F_(2) (3, 0) `
(iv) ` e= 3/5" "` (v) `32/5 ` units

0 like 0 dislike
1 views
Talk Doctor Online in Bissoy App
Sunrays pass through a pinhole in the roof of a hut and produce an elliptical spot on the floor. The minor and major axes of the spot are 6 cm and 12

Correct Answer - `3.44 cm`

2 Answers 3 views
Consider a triangle ABC and let a, b and c denote the lengths of the sides opposite to vertices A, B and C, respectivelu. Suppose `a = 6, b = 10` and

Correct Answer - 3 `Delta = (1)/(2) ab sin C rArr sin C = (2Delta)/(ab) = (2 xx 15 sqrt3)/(6 xx 10) = (sqrt3)/(2)` `rArr C = 120^(@)` `rArr c =...

2 Answers 1 views
In a four sider- field , the length of the longer diagonal is 128 m. the lengths of perpendiculars from the opposite vertices upon this diagonal are 2

Correct Answer - `2560 m^(2)`

2 Answers 1 views
If the origin is shifted to the point (0,-2) by a translation of the axes, the coordinates of a point become (3, 2). Find the original coordinates of

Correct Answer - (3,0)

2 Answers 1 views
If the origin is shifted to the point (2,-1) by a translation of the axes, the coordinates of a point become (-3,5). Find the original coordinates of

Correct Answer - (-1,4)

2 Answers 1 views
Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the latus rectum of the ellipse `(x^2)/

Correct Answer - (i) 10 units, 6 units (ii) A(-5,0) and B(5, 0) (iii) `F_(1)(-4, 0) and F_(2) (4,0)` (iv) ` e=4/5` (v) `3.6 ` units

2 Answers 1 views
Three vertices of a rectangle ABCD are A(3, 1), B(-3, 1) and `C(-3, 3)`. Plot these points on a graph paper and find the coordinates of the fourth ver

Correct Answer - D(3, 3), q sq units

2 Answers 1 views
(i) Find the coordinates of the point which divides the join of A(-1, 7) and B(4, -3) in the ratio 2:3. (ii) Find the coordinates of the point which d

Correct Answer - (i) (1, 3) (ii) (2, -3)

2 Answers 5 views
The midpoints of the sides BC, CA and AB of a `Delta ABC` are D(3, 4), E(8, 9) and F(6, 7) respectively. Find the coordinates of the vertices of the t

Correct Answer - A(11, 12), B(1, 2), C(5, 8)

2 Answers 1 views
If two vertices of a parallelogram are `(3, 2), (-1, 0)` and the diagonals cut at `(2, -5)` , find the other vertices of the parallelogram.

Correct Answer - (1, -12);(5, -10)

2 Answers 1 views
X