1.  2

2.  4

3.  5

4.  1

View Answer  
4
Correct Answer :

1


Explanation :
No Explanation available for this question

A straight line touches the circle  described on the line joining the foci of the  hyperbola x2/a2-y2/b2=1 as diameter. The locus of poles w. r. t the hyperbola is

1.  x2/a4-y2/b4=1/a2+1/b2

2.  x2/a4-y2/b4=1/a2-1/b2

3.  x2/a4-y2/b4=1/a2+1/b2

4.   x2/a4-y2/b4=1/a2-1/b2

View Answer  
4
Correct Answer :

x2/a4-y2/b4=1/a2+1/b2


Explanation :
No Explanation available for this question

The locus of the foot  of the perpendicular drawn from the centre of the hyperbola x2/a2-y2/b2=1 on any tangent to it is

1.  (x2+y2)2=a2x2+b2y2

2.  (x2+y2)2=a2x2-b2y2

3.  (x2-y2)2=a2x2+b2y2

4.  (x2+y2)2=a2x2-b2y2

View Answer  
4
Correct Answer :

(x2+y2)2=a2x2-b2y2


Explanation :
No Explanation available for this question

Chords of hyperbola x2/a2-y2/b2=1 are at constant distance k from the centre. The equation to the locus of their pole is

1.  x2/a4+y2/b4=1/k2

2.  x2/a4+y2/b4=k2

3.  x2/a4+y2/b4=1/k4

4.  x2/a4+y2/b4=k4

View Answer  
4
Correct Answer :

x2/a4+y2/b4=1/k2


Explanation :
No Explanation available for this question

If a variable line of slope 4 intersects the hyperbola xy=1 at two points. Then the locus of the point which divides the line segment between these points in the ratio is 1:2

1.  x2-y2=a2

2.  x2-y2=2a2

3.  x2-y2=0

4.  x2-y2=1

View Answer  
4
Correct Answer :

x2-y2=a2


Explanation :
No Explanation available for this question

1.  2

2.  0

3.  3

4.  -1

View Answer  
4
Correct Answer :

3


Explanation :
No Explanation available for this question

The chords of contact of P w.r. to x2-y2=a2 are at right angles. The locus of P is

1.  x2-y2=a2

2.  x2-y2=2a2

3.  x2-y2=0

4.  x2-y2=1

View Answer  
4
Correct Answer :

x2-y2=0


Explanation :
No Explanation available for this question

The equation of the chord of the hyperbola 4x2-9y2=36 having (-2, 1) as its midpoint is

1.  8x+9y+7=0

2.  8x-7y+7=0

3.  8x-9y-7=0

4.  6x+9y+7=0

View Answer  
4
Correct Answer :

8x+9y+7=0


Explanation :
No Explanation available for this question

The midpoint of the chord x+2y+4=0 on the hyperbola 3x2-4y2=12 is

1.  (1, 2)

2.  (2, 3)

3.  (2, -3)

4.  (2, -1)

View Answer  
4
Correct Answer :

(2, -3)


Explanation :
No Explanation available for this question

The locus of the midpoints of the chords of x2-y2=a2 which touch the parabola y2=4ax is

1.  y2(x+a)=x3

2.  y2(x-a)=x3

3.  y2(x+a)=x2

4.  y2(x-a)=x2

View Answer  
4
Correct Answer :

y2(x-a)=x3


Explanation :
No Explanation available for this question
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