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:

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### 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

Slope = .

### 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

Slope = .

botany-

### If the tangent at Point P to the ellipse 16x^{2} + 11y^{2} = 256 is also the tangent to the circle x^{2} + y^{2} - 2x = 15, then the eccentric angle of point P is

The equation of tangent at point to the ellipse

16x

16x (4cosq) + 11y = 256

4xcosq + y sinq = 16

This touches the circle

(x + 1)

So, = 4

Þ (cosq - 4)

4cos

\ cosq =

\ q = ±

16x

^{2}+ 11y^{2}= 256 is16x (4cosq) + 11y = 256

4xcosq + y sinq = 16

This touches the circle

(x + 1)

^{2}+ y^{2}= 16So, = 4

Þ (cosq - 4)

^{2}= 11 + 5cos^{2}q4cos

^{2}q + 8cosq - 5 = 0\ cosq =

\ q = ±

### If the tangent at Point P to the ellipse 16x^{2} + 11y^{2} = 256 is also the tangent to the circle x^{2} + y^{2} - 2x = 15, then the eccentric angle of point P is

botany-General

The equation of tangent at point to the ellipse

16x

16x (4cosq) + 11y = 256

4xcosq + y sinq = 16

This touches the circle

(x + 1)

So, = 4

Þ (cosq - 4)

4cos

\ cosq =

\ q = ±

16x

^{2}+ 11y^{2}= 256 is16x (4cosq) + 11y = 256

4xcosq + y sinq = 16

This touches the circle

(x + 1)

^{2}+ y^{2}= 16So, = 4

Þ (cosq - 4)

^{2}= 11 + 5cos^{2}q4cos

^{2}q + 8cosq - 5 = 0\ cosq =

\ q = ±

botany-

### If the curve x^{2} + 3y^{2} = 9 subtends an obtuse angle at the point (2a, a), then a possible value of a^{2} is

The given curve is , whose director circle is x

^{2}+ y^{2}= 12. For the required condition (2a, a) should lie inside the circle and outside the ellipse i.e.,(2a)^{2}+ 3a^{2}- 9 > 0 and (2a)^{2}+ a^{2}- 12 < 0 i.e., .### If the curve x^{2} + 3y^{2} = 9 subtends an obtuse angle at the point (2a, a), then a possible value of a^{2} is

botany-General

The given curve is , whose director circle is x

^{2}+ y^{2}= 12. For the required condition (2a, a) should lie inside the circle and outside the ellipse i.e.,(2a)^{2}+ 3a^{2}- 9 > 0 and (2a)^{2}+ a^{2}- 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 BDCR

2 ´ 2 + 3R

R

\ V

_{1}B, we get2 ´ 2 + 3R

_{1}= 4R

_{1}= 0\ V

_{B}= V_{C}= 2 – V_{A}= 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 BDCR

2 ´ 2 + 3R

R

\ V

_{1}B, we get2 ´ 2 + 3R

_{1}= 4R

_{1}= 0\ V

_{B}= V_{C}= 2 – V_{A}= 2 – 0 = 2 Vmaths-

### 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