The locus of midpoint of normal chords of the ellipse x2/a2+y2/b2=1 is

1.  

2.  

3.  

4.  

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4
Correct Answer :


Explanation :
No Explanation available for this question

If ABC is an isosceles triangle where B=(1,3) and C=(-2,7) then A=

1.  5/6,6)

2.   (6,5/6)

3.  (7,1/8)

4.  none

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4
Correct Answer :

5/6,6)


Explanation :
No Explanation available for this question

The locus of the middle points of the portions of the tangents of the ellipse x2/a2+y2/b2=1  included between the axes is the curve

1.  x2/a2+y2/b2=4

2.  a2/x2+b2/y2=4

3.  a2x2+b2y2=4

4.  b2x2+a2y2=4

View Answer  
4
Correct Answer :

a2/x2+b2/y2=4


Explanation :
No Explanation available for this question

I:  The equation of the ellipse with its axes as the coordinate axes respectively and whose latus rectum=8 and eccentricity=1√2 is x2/64+y2/32=1

1.  Only I is true

2.  Only II is true

3.  both I and II are true

4.  neither I nor II true

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4
Correct Answer :

both I and II are true


Explanation :
No Explanation available for this question

I:The eccentricity of the ellipse whose latus rectum is equal to half of its minor axis is 1/√1 II: The latus rectum of an ellipse is 1/3 of

1.  Only I is true

2.  Only II is true

3.  both I and II are true

4.  neither I nor II true

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4
Correct Answer :

Only II is true


Explanation :
No Explanation available for this question

The normal at point P on the ellipse having A, A’ as vertices and S, S’ as foci, bijects the angle

1.  

2.  

3.  

4.  

View Answer  
4
Correct Answer :


Explanation :
No Explanation available for this question

If A(x,4) ,B(1,-2),C=(-3,4) form an isosceles triangle with vertex at B then x=

1.  3

2.  -5

3.  3 or -5

4.  5 or -3

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4
Correct Answer :

5 or -3


Explanation :
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1.  2

2.  3

3.  -2

4.  -3

View Answer  
4
Correct Answer :

2


Explanation :
No Explanation available for this question

If O is the origin and if A(x1,y1), B(x2,y2) are two points then OA.OB.cos

1.  x12+y12

2.  x1y2+x2y1

3.  x1y2+y1y2

4.  x1y2-x2y1

View Answer  
4
Correct Answer :

x1y2+y1y2


Explanation :
No Explanation available for this question

If O is the origin and if P=(2,3), Q=(4,5) then OP.OQ.cos

1.  8

2.  15

3.  22

4.  23

View Answer  
4
Correct Answer :

23


Explanation :
No Explanation available for this question
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