The equation to the circle on S’S as diameter where S and S’ are the foci of an ellipse x2/a2+y2/b2=1 is

1.  x2+y2=a2

2.  x2+y2=b2

3.  x2+y2=a2e2

4.  x2+y2=a2+ b2

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4
Correct Answer :

x2+y2=a2e2


Explanation :
No Explanation available for this question

The locus of the point of intersection of two tangents to the ellipse x2/a2+y2/b2=1 is

1.  (x2+y2-a2-b2)2=12(b2x2+a2 y2-a2b2)

2.  (x2+y2-a2-b2)2=4(b2x2+a2 y2-a2b2)

3.  3(x2+y2-a2-b2)2=4 (b2x2+a2 y2-a2b2)

4.  x2+y2=a2+b2

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4
Correct Answer :

3(x2+y2-a2-b2)2=4 (b2x2+a2 y2-a2b2)


Explanation :
No Explanation available for this question

The radius of the circle passing through the foci of the ellipse x2/16+y2/9=1 and having its center at (0, 3) is

1.  4

2.  3

3.  √12

4.  7/2

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4
Correct Answer :

4


Explanation :
No Explanation available for this question

 If F1, F2 be the feet of the perpendiculars from the foci S1, S2 of an ellipse x2/5+y2/3=1 on the tangent at any point P on the ellipse S1F1

1.  2

2.  3

3.  4

4.  5

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4
Correct Answer :

3


Explanation :
No Explanation available for this question

A vertical pole consists of two portions, the lower being 1/3 rd of the whole. If the upper portion subtends an angle Tan-1 1/2 at a point in a horizontal plane through the foot of the plane and distance 40 ft. from it

1.  36 ft

2.  35 ft

3.  40 ft

4.  none

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4
Correct Answer :

40 ft


Explanation :
No Explanation available for this question

Pole of the line 2x+3y+4=0 w.r.to the ellipse x2/2+y2/4=1 is

1.  (1, 3)

2.  (1, -3)

3.  (-1, 3)

4.  (-1, -3)

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4
Correct Answer :

(-1, -3)


Explanation :
No Explanation available for this question

The pole of line x=a/e with respect to the ellipse x2/a2+y2/b2=1 is

1.  (a/e, 0)

2.  (-a/e, 0)

3.  (ae, 0)

4.  (-ae, 0)

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4
Correct Answer :

(ae, 0)


Explanation :
No Explanation available for this question

The pole of the line y=x+2 e with respect to the ellipse x2+4y2-2x-6y-10=0 is

1.  (9/4, -5/24)

2.  (6/7, -17/7)

3.  (-26, 35/4)

4.  none

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4
Correct Answer :

(-26, 35/4)


Explanation :
No Explanation available for this question

From the bottom of a pole of height h, the angle of elevation of top of a tower is α. The subtends an angle β at the top of the tower. The height of the tower is

1.  

2.  

3.  

4.  none

View Answer  
4
Correct Answer :


Explanation :
No Explanation available for this question

The tangents are drawn to the ellipse x2/a2+y2/b2=1 at point where it is intersected by the line lx+my+n=0. The point of intersection of tangents at these points is

1.  (a2l/n, b2m/n)

2.  (-a2l/n, b2m/n)

3.  (a2l/n, -b2m/n)

4.  (-a2l/n, -b2m/n)

View Answer  
4
Correct Answer :

(-a2l/n, -b2m/n)


Explanation :
No Explanation available for this question
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