Botany-

General

Easy

Question

# are points on the ellipse such that is a chord through the point If then length of chord is

- 8
- 6
- 10
- 4

## The correct answer is: 10

### Conceptual

### Related Questions to study

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

physics

### cane filled with water is revolved in a vertical circle of radius 4 metre and the water just does not fall down. The time period of revolution will be -

### cane filled with water is revolved in a vertical circle of radius 4 metre and the water just does not fall down. The time period of revolution will be -

physicsGeneral

physics

### A string can bear a maximum tension of 100 without breaking. A body of mass 1 kg is attached to one end of 1 m length of thin string and it is revolved in a horizontal plane. The maximum linear velocity which can be imparted to the body without breaking the string, will be -

### A string can bear a maximum tension of 100 without breaking. A body of mass 1 kg is attached to one end of 1 m length of thin string and it is revolved in a horizontal plane. The maximum linear velocity which can be imparted to the body without breaking the string, will be -

physicsGeneral

physics

### In the question 58, the force exerted when the pilot is at the lowest point is -

### In the question 58, the force exerted when the pilot is at the lowest point is -

physicsGeneral

physics

### An aeroplane flying at 100 m/sec dives in a vertical plane along the circle of radius 200 m. The mass of the pilot is 75 kg. What will be the force exerted by the pilot on his seat when the aeroplane is at the maximum height-

### An aeroplane flying at 100 m/sec dives in a vertical plane along the circle of radius 200 m. The mass of the pilot is 75 kg. What will be the force exerted by the pilot on his seat when the aeroplane is at the maximum height-

physicsGeneral