1.  

2.  

3.  

4.  none

View Answer  
4
Correct Answer :


Explanation :
No Explanation available for this question

The condition that the chord of contact of the point (b, c) w.r.to the circle x2+y2=a2 should subtend a right angle at the centre is

1.  b2+c2=a2

2.  b2+c2=2a2

3.  b2+c2=3a2

4.  2b2+2c2=a2

View Answer  
4
Correct Answer :

b2+c2=2a2


Explanation :
No Explanation available for this question

1.  2 log 2-1

2.  log 2-1

3.  2 log 2+1

4.  2 log 2 -2

View Answer  
4
Correct Answer :

2 log 2-1


Explanation :
No Explanation available for this question

If the pole of the line with respect to the circle x2+y2=c2 lies on the circle x2+y2=9c2, the line is a tangent to the circle with centre as origin is

1.  9x2+9y2=c2

2.  9x2+9y2=c

3.  8x2+8y2=c2

4.  8x2+8y2=c

View Answer  
4
Correct Answer :

9x2+9y2=c2


Explanation :
No Explanation available for this question

A point P is taken on the circle x2+y2=a2 and PN, PM are drawn perpendiculars to the axes. The locus of the pole of the line MN is

1.  1/x2+1/y1=1/a2

2.  1/x2+1/y1=1/a

3.  1/x2-1/y1=1/a

4.  1/x2-1/y1=1/a2

View Answer  
4
Correct Answer :

1/x2+1/y1=1/a2


Explanation :
No Explanation available for this question

If the pole of a line w.r.to the circle x2+y2=a2 lies on the circle x2+y2=a4 then the line touches the circle

1.  x2+y2=2

2.  x2+y2=1

3.  x2+y2=3

4.  none

View Answer  
4
Correct Answer :

x2+y2=1


Explanation :
No Explanation available for this question

The area of the triangle formed by the tangents from (1, 3) to the circle x2+y2-4x+6y+1=0 and its chord of contact is

1.  250√3/37

2.  125√3/37

3.  250√3/17

4.  125√3/17

View Answer  
4
Correct Answer :

250√3/37


Explanation :
No Explanation available for this question

The polcus of poles of the line ax+by+c=0 w.r.to a system of circle x2+y2=λ, when λ is a variable is

1.  ax+by= λ

2.  bx+ay= λ

3.  ax-by=0

4.  bx-ay=0

View Answer  
4
Correct Answer :

bx-ay=0


Explanation :
No Explanation available for this question

The locus of the poles of the line 2x-3y-4=0 w.r.t the circle x2+y2+2λx-16=0 is

1.  13x2-22x-14y+48=0

2.  x2-32x-14y+88=0

3.  3x2-2xy-4y+48=0

4.  3x2-2xy-4y-48=0

View Answer  
4
Correct Answer :

3x2-2xy-4y+48=0


Explanation :
No Explanation available for this question

The inverse point of (1, -1) with resapect to the circle x2+y2=4 is

1.  (-1, 1)

2.  (-2, 2)

3.  (1, -1)

4.  (2, -2)

View Answer  
4
Correct Answer :

(2, -2)


Explanation :
No Explanation available for this question
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