If α and β  are the eccentric angles of the extremities of a focal chord of an ellipse then the eccentricity of the ellipse is

1.  cos α +cos β/cos (α-β)

2.  sin α -sin β/sin (α-β)

3.  cos α -cos β/cos (α-β)

4.  sin α +sin β/sin (α+β)

View Answer  
4
Correct Answer :

sin α +sin β/sin (α+β)


Explanation :
No Explanation available for this question

The tangent at α on the ellipse x2/a2+y2/b2=1 meets the auxiliary circle at the points which sutend a right angle at the centre. Then e=

1.  √1+sin2α

2.  √1+cos2α

3.  1/√1+sin2α

4.  1/√1+cos2α

View Answer  
4
Correct Answer :

1/√1+sin2α


Explanation :
No Explanation available for this question

I: The distance of three points on a pole its foot are in A.P. If the angles of elevation of these points from a points from a point on the ground are α, β and γ, then cot β cot γ, cot γ cot &alp

1.  only I is true

2.  only II is true

3.  both I and II are true

4.  neither I and II true

View Answer  
4
Correct Answer :

only II is true


Explanation :
No Explanation available for this question

If the tangent at θ on the x2/a2+y2/b2=1 meets the auxiliary circle at the points which sutend a right angle at the centre. Then e2(2-cos2θ)=

1.  1

2.  2

3.  1

4.  0

View Answer  
4
Correct Answer :

1


Explanation :
No Explanation available for this question

If the tangent at θ on the x2/a2+y2/b2=1 meets the coordinate axes in A and B then the locus of the midpoint of AB is

1.  a2/x2+b2/y2=4

2.  a2/x2-b2/y2=4

3.  a2/x2+b2/y2=2

4.   b2/x2+a2/y2=4

View Answer  
4
Correct Answer :

a2/x2+b2/y2=4


Explanation :
No Explanation available for this question

1.  0

2.   1

3.  

4.  

View Answer  
4
Correct Answer :

1


Explanation :
No Explanation available for this question

Over a tower AB of height h mt, there is a flag staff BC.AB and BC are making equal angles at a point distant ‘d’ mt from the foot A of the tower. The height of the flag staff is

1.  only I is true

2.  only II is true

3.  both I and II are true

4.  neither I and II true

View Answer  
4
Correct Answer :

only I is true


Explanation :
No Explanation available for this question

P(θ) and D(θ+π/2) are two points on the ellipse x2/a2+y2/b2=1. The locus of midpoint of the chord PD is

1.  x2/a2+y2/b2=1/a

2.  x2/a2+y2/b2=1/b

3.  x2/a2+y2/b2=1/2

4.  x2/a2+y2/b2=1/6

View Answer  
4
Correct Answer :

x2/a2+y2/b2=1/2


Explanation :
No Explanation available for this question

The number of normal that can be drawn from point to an ellipse is

1.  1

2.  2

3.  3

4.  4

View Answer  
4
Correct Answer :

4


Explanation :
No Explanation available for this question

If the points (0,0), (3,√3), (x,y) form an equilateral triangle, then (x,y)=

1.  (0,2√3), (3,-√3)

2.  (1,2√3),(3,√3)

3.  (1,√3), (3,-√3)

4.  none

View Answer  
4
Correct Answer :

(0,2√3), (3,-√3)


Explanation :
No Explanation available for this question
Previous Next

Interview Questions

MongoDB
Java Script
Node JS
PHP
JQuery
Python