If the inverse point of (1, -1) with respect to the circle x2+y2=1/4 is C then Cx+Cy=

1.  2

2.  0

3.  (1/4. -1/8)

4.  1/4

4

0

Explanation :
No Explanation available for this question

If the lines 3x+y=10 and x+2y=4 are conjugate with respect to a circle whose centre is origin, then its radius is

1.  4

2.  8

3.  2√2

4.  2

4

2√2

Explanation :
No Explanation available for this question

The inverse point of (x1, y1) with respect to x2+y2=a2 is

1.  y2/(x12+y12)

2.  x2/(x12+y12)

3.  a2/(x12+y12)

4.  a/(x12-y12)

4

a2/(x12+y12)

Explanation :
No Explanation available for this question

A point ‘p’ is taken on the circle x2+y2=a2. PN, PM are drawn perpendicular to axes. The locus of the pole of line MN is

1.  x-2-y-2=a-4

2.  x-2-y-2=a-2

3.  x-2+y-2=a-2

4.  x2+y2=a2

4

x-2+y-2=a-2

Explanation :
No Explanation available for this question

The distance between the chords of contact of the points (0,0) and (g,f) with respect to the circle x2+y2+2gx+2fy+c=0 is

1.  (g2+f2-c) / 2[√(g2+f2)]

2.  (g2+f2-c) / 2[g2+f2]

3.  (g2+f2-c) / [√(g2+f2)]

4.  (g2+f2+c) / 2[√(g2+f2)]

4

(g2+f2-c) / 2[√(g2+f2)]

Explanation :
No Explanation available for this question

The locus of the midpoints of the chords of the circle x2+y2-2x+2y-2=0 parallel to the line y=x+5 is the line which passes through the point is

1.  (2,-1)

2.  (0,0)

3.  (1,1)

4.  (-1,-1)

4

(0,0)

Explanation :
No Explanation available for this question

The locus of the midpoint of the chord of the circle x2+y2=25 which subtends a right angle at (2,-3) is

1.  x2+y2+2x-3y-6=0

2.  x2+y2-2x-3y-12=0

3.  x2+y2-2x+3y-6=0

4.  x2+y2+2x+3y-24=0

4

x2+y2-2x+3y-6=0

Explanation :
No Explanation available for this question

If the length of a chord of the circle x2+y2=a2 is 2k then the locus of the midpoint of that chord is a circle of radius

1.  √(a2-k2)

2.  √(a2+k2)

3.  √(k2-a2)

4.  a2-k2

4

√(a2-k2)

Explanation :
No Explanation available for this question

The normal to the circle x2+y2+2x-10y+k=0 which is perpendicular to x-3y+2=0 is

1.  3x+y=4

2.  3x+y=2

3.  3x+y=0

4.  x+3y+2=0

4

3x+y=2

Explanation :
No Explanation available for this question

The normal at θ to the circle x2+y2-4x-6y+5=0 is

1.  (x-2)sinθ-(y-3)cosθ=2√2

2.  (x-2)sinθ+(y-3)cosθ=2√2

3.  (x-2)sinθ-(y-3)cosθ=0

4.  (x-2)sinθ+(y-3)cosθ=0

4