If the chords of contact of tangents from two points(x1, y1) and (x2, y2) to the ellipse x2/a2+y2/b2=1 are at right angles then x1

1.  a2/b2

2.  –b2/a2

3.  –a4/b4

4.  –b4/a4

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4
Correct Answer :

–a4/b4


Explanation :
No Explanation available for this question

A tower of h standing at the centre of a square with sides of length ‘a’ makes the same angle α at each of the four corners. Then a2

1.  h2 cot2 α

2.  h2 tan2 α

3.  2h2 cot2 α

4.  2h2 tant2 α

View Answer  
4
Correct Answer :

2h2 cot2 α


Explanation :
No Explanation available for this question

The midpoint of a chord 4x+5y-13=0 of the ellipse 2x2+5y2=20 is

1.  (2, -1)

2.  (-2,1)

3.  (-2, -1)

4.  (2, 1)

View Answer  
4
Correct Answer :

(2, 1)


Explanation :
No Explanation available for this question

The locus of midpoint of the chord of the ellipse x2/a2+y2/b2=1 which pass through the point end og=f the major axis is

1.  x2/a2+y2/b2=1/a2

2.  x2/a2+y2/b2=x/a

3.  x2/a2+y2/b2=y/a

4.  x2/a2+y2/b2=1/b

View Answer  
4
Correct Answer :

x2/a2+y2/b2=x/a


Explanation :
No Explanation available for this question

A tower subtends an angle α at a point in the plane of its base and the angle of depression of the foot of the tower at a point b ft. just above A is β. Then height of the tower is

1.  b tan α cot β

2.  b cot α tan β

3.  b tan α tan β

4.  b cot α cot β

View Answer  
4
Correct Answer :

b tan α cot β


Explanation :
No Explanation available for this question

The locus of midpoint of the chord of the ellipse x2/a2+y2/b2=1 which pass through the fixed point  (h, k) is

1.  x2/a2+y2/b2=xh/a2+yk/b2

2.  x2/a2+y2/b2=xh/a2-yk/b2

3.  x2/a2-y2/b2=xh/a2+yk/b2

4.  x2/a2-y2/b2=xh/a2-yk/b2

View Answer  
4
Correct Answer :

x2/a2+y2/b2=xh/a2+yk/b2


Explanation :
No Explanation available for this question

The locus of midpoint of the chord of the ellipse x2/a2+y2/b2=1 which pass through the focus (ae, 0) is

1.  x2/a2+y2/b2=x/a2

2.  x2/a2+y2/b2=ex/a2

3.  x2/a2+y2/b2=x2/a4

4.  x2/a2+y2/b2=ex/a

View Answer  
4
Correct Answer :

x2/a2+y2/b2=ex/a


Explanation :
No Explanation available for this question

1.  (x+1)2

2.  (x+1)2=0

3.  x2-1=0

4.  none

View Answer  
4
Correct Answer :

x2-1=0


Explanation :
No Explanation available for this question

A round balloon of radius r subtends an angle α at the eye of an observer, while the angle of elevation of its centre is β. The height of the centre of the balloon is

1.  r sin α cosec (β/2)

2.  r sin β cosec (α/2)

3.  r sin α sec (β/2)

4.  r sin β sec (α/2)

View Answer  
4
Correct Answer :

r sin β cosec (α/2)


Explanation :
No Explanation available for this question

The locus of middle point of the chord of the ellipse x2/a2+y2/b2=1 touching the ellipse The locus of midpoint of the chord of the ellipse x2/α2+y2

1.  α2x2/a4+β2y2/b4=( x2/a2+y2/b2)2

2.  α2x2/a4+β2y2/b4=( x2/a2-y2/b2)2

3.  α2x2/a4+β2y2/b4=( x2/a2+y2/b2)2

4.  α2x2/a4-β2y2/b4=( x2/a2-y2/b2)2

View Answer  
4
Correct Answer :

α2x2/a4+β2y2/b4=( x2/a2+y2/b2)2


Explanation :
No Explanation available for this question
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