1.

2.

3.

4.  none

4

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

4

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

4

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

4

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

4

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

4

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

4

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

4

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

4

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

Explanation :
No Explanation available for this question

1.  (-1, 1)

2.  (-2, 2)

3.  (1, -1)

4.  (2, -2)

4