20 persons are seated at a round table.The number of ways of selecting 2 persons out of them who are not seated adjacent to each other is

1.  190

2.  170

3.  180

4.  160

View Answer  
4
Correct Answer :

170


Explanation :
No Explanation available for this question

A=(3,2),B=(7,-1) are two points. Then the locus of P such that |PA-PB|=4 is

1.  Rectangular hyperbola

2.  Hyperbola

3.  Ellipse

4.  Parabola

View Answer  
4
Correct Answer :

Hyperbola


Explanation :
No Explanation available for this question

The tangent at a point P on (x2/a2)-(y2/b2)=1 cuts one of its directrices in Q.The PQ subtends at the corresponding focus an angle of

1.  π/2

2.  π/3

3.  π/6

4.  π/4

View Answer  
4
Correct Answer :

π/2


Explanation :
No Explanation available for this question

The locus of the point [(et+e-t)/2,(et+e-t)/2] is a hyperbola of eccentricity

1.  2

2.  √2

3.  3

4.  √3

View Answer  
4
Correct Answer :

√2


Explanation :
No Explanation available for this question

If the line y=x+c is a tangent to the hyperbola then c is

1.  

2.  

3.  

4.  

View Answer  
4
Correct Answer :


Explanation :
No Explanation available for this question

If 3x-2y+7=0 and 2x+3y+4=0 are the asymptotes of a hyperbola then its eccentricity is

1.  cannot determined

2.  2

3.  √2

4.  3/2

View Answer  
4
Correct Answer :

√2


Explanation :
No Explanation available for this question

If the line lx+my=1 is a normal to the hyperbola [(x2/a2)-(y2/b2)]=1,then [(a2/l2)-(b2/m2)]=1

1.  (a2-b2)2

2.  (a2+b2)2

3.  a2+b2

4.  a2-b2

View Answer  
4
Correct Answer :

(a2+b2)2


Explanation :
No Explanation available for this question

The asymptotes of a hyperbola are 7x+5y-12=0,2x+3y-5=0.Its centre is

1.  (2,2)

2.  (2,1)

3.  (1,2)

4.  (1,1)

View Answer  
4
Correct Answer :

(1,1)


Explanation :
No Explanation available for this question

The difference of focal distance of any point on the hyperbola [(x2/36)-(y2-9)]=1 is

1.  6

2.  12

3.  9

4.  36

View Answer  
4
Correct Answer :

12


Explanation :
No Explanation available for this question

Pole of 2x-3y-12=0 w.r.to the hyperbola 4x2-5y2=24 is

1.  (1,2)

2.  (1,-2/5)

3.  (-1,2/5)

4.  (2/5,1)

View Answer  
4
Correct Answer :

(1,2)


Explanation :
No Explanation available for this question
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