Botany-
General
Easy
Question
If there are exactly two points on the ellipse
whose distance from its centre is same and is equal to
then eccentricity of the ellipse is
The correct answer is:

Related Questions to study
botany-
Tangent at any point
of ellipse
is drawn. Eccentric
angle of ‘ P’ is
If
is the foot of perpendicular from centre
to this tangent then
is


Tangent at any point
of ellipse
is drawn. Eccentric
angle of ‘ P’ is
If
is the foot of perpendicular from centre
to this tangent then
is
botany-General


botany-
If the curve
subtends as obtuse angle at the point
,
then a possible value of
is
The generated curve is
, whose director circle is
. For the required condition
should lie inside the circle and out side the ellipse i.e. 
If the curve
subtends as obtuse angle at the point
,
then a possible value of
is
botany-General
The generated curve is
, whose director circle is
. For the required condition
should lie inside the circle and out side the ellipse i.e. 
botany-
Let
. A point P in the XY-plane varies in such a way that perimeter of
is 16. Then the maximum area of
is
P lies on the ellipse for which
are foci and length of major axis is 10 and eccentricity is 3/5.
Let
. A point P in the XY-plane varies in such a way that perimeter of
is 16. Then the maximum area of
is
botany-General
P lies on the ellipse for which
are foci and length of major axis is 10 and eccentricity is 3/5.
botany-
are points on the ellipse
such that
is a chord through the point
If
then length of chord
is
Conceptual
are points on the ellipse
such that
is a chord through the point
If
then length of chord
is
botany-General
Conceptual
botany-
If
is a decreasing function for all
and
then the range of K so that the equation
represents an ellipse whose major axis is the X-axis is
Conceptual
If
is a decreasing function for all
and
then the range of K so that the equation
represents an ellipse whose major axis is the X-axis is
botany-General
Conceptual
botany-
From the focus
of the ellipse
a ray of light is sent which makes angle
with the positive direction of X-axis upon reacting the ellipse the ray is reflected from it. Slope of the reflected ray is
Let 
Foci are
Equation of line through (-5, 0) with slope –2 is
This line meets the ellipse above X-axis at
Slope =
.
Foci are
Equation of line through (-5, 0) with slope –2 is
This line meets the ellipse above X-axis at
From the focus
of the ellipse
a ray of light is sent which makes angle
with the positive direction of X-axis upon reacting the ellipse the ray is reflected from it. Slope of the reflected ray is
botany-General
Let 
Foci are
Equation of line through (-5, 0) with slope –2 is
This line meets the ellipse above X-axis at
Slope =
.
Foci are
Equation of line through (-5, 0) with slope –2 is
This line meets the ellipse above X-axis at
botany-
If the tangent at Point P to the ellipse 16x2 + 11y2 = 256 is also the tangent to the circle x2 + y2 - 2x = 15, then the eccentric angle of point P is
The equation of tangent at point
to the ellipse
16x2 + 11y2 = 256 is
16x (4cosq) + 11y
= 256
4xcosq +
y sinq = 16
This touches the circle
(x + 1)2 + y2 = 16
So,
= 4
Þ (cosq - 4)2 = 11 + 5cos2q
4cos2q + 8cosq - 5 = 0
\ cosq =
\ q = ±
16x2 + 11y2 = 256 is
16x (4cosq) + 11y
4xcosq +
This touches the circle
(x + 1)2 + y2 = 16
So,
Þ (cosq - 4)2 = 11 + 5cos2q
4cos2q + 8cosq - 5 = 0
\ cosq =
\ q = ±
If the tangent at Point P to the ellipse 16x2 + 11y2 = 256 is also the tangent to the circle x2 + y2 - 2x = 15, then the eccentric angle of point P is
botany-General
The equation of tangent at point
to the ellipse
16x2 + 11y2 = 256 is
16x (4cosq) + 11y
= 256
4xcosq +
y sinq = 16
This touches the circle
(x + 1)2 + y2 = 16
So,
= 4
Þ (cosq - 4)2 = 11 + 5cos2q
4cos2q + 8cosq - 5 = 0
\ cosq =
\ q = ±
16x2 + 11y2 = 256 is
16x (4cosq) + 11y
4xcosq +
This touches the circle
(x + 1)2 + y2 = 16
So,
Þ (cosq - 4)2 = 11 + 5cos2q
4cos2q + 8cosq - 5 = 0
\ cosq =
\ q = ±
botany-
If the curve x2 + 3y2 = 9 subtends an obtuse angle at the point (2a, a), then a possible value of a2 is
The given curve is
, whose director circle is x2 + y2 = 12. For the required condition (2a, a) should lie inside the circle and outside the ellipse i.e.,(2a)2 + 3a2 - 9 > 0 and (2a)2 + a2 - 12 < 0 i.e.,
.
If the curve x2 + 3y2 = 9 subtends an obtuse angle at the point (2a, a), then a possible value of a2 is
botany-General
The given curve is
, whose director circle is x2 + y2 = 12. For the required condition (2a, a) should lie inside the circle and outside the ellipse i.e.,(2a)2 + 3a2 - 9 > 0 and (2a)2 + a2 - 12 < 0 i.e.,
.
biology
The protective covering over radical during the germination of seeds is
The protective covering over radical during the germination of seeds is
biologyGeneral
Physics-
Determine the potential at point B, assuming point A to be at zero potential
<img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/869608/1/201040/Picture9.jpeg" alt="" width="160" height="108"
From the loop BDCR1B, we get
2 ´ 2 + 3R1 = 4
R1 = 0
\ VB = VC = 2 – VA = 2 – 0 = 2 V
2 ´ 2 + 3R1 = 4
R1 = 0
\ VB = VC = 2 – VA = 2 – 0 = 2 V
Determine the potential at point B, assuming point A to be at zero potential
<img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/869608/1/201040/Picture9.jpeg" alt="" width="160" height="108"
Physics-General
From the loop BDCR1B, we get
2 ´ 2 + 3R1 = 4
R1 = 0
\ VB = VC = 2 – VA = 2 – 0 = 2 V
2 ´ 2 + 3R1 = 4
R1 = 0
\ VB = VC = 2 – VA = 2 – 0 = 2 V
maths-
The domain of the function
is

The domain of the function
is
maths-General

biology
Alkaline pyrogallic acid is used for absorbing _______ during experiments on germination
Alkaline pyrogallic acid is used for absorbing _______ during experiments on germination
biologyGeneral
physics
The maximum speed with which a car can cross a convex bridge over a river with radius of curvature 9 m is : (given that the centre of gravity of car is 1m above the road)-
The maximum speed with which a car can cross a convex bridge over a river with radius of curvature 9 m is : (given that the centre of gravity of car is 1m above the road)-
physicsGeneral
physics
The roadway of a bridge over a canal is in the form of a circular arc of radius 18 m. What is the greatest speed with which a motor cycle can cross the bridge without leaving ground.
The roadway of a bridge over a canal is in the form of a circular arc of radius 18 m. What is the greatest speed with which a motor cycle can cross the bridge without leaving ground.
physicsGeneral
physics
2 kg stone at the end of a string 1m long is whirled in a vertical circle at a constant speed. The speed of the stone is 4 m /sec. The tension in the string will be 52 N when the stone is-
2 kg stone at the end of a string 1m long is whirled in a vertical circle at a constant speed. The speed of the stone is 4 m /sec. The tension in the string will be 52 N when the stone is-
physicsGeneral