# If 3x+4y+k=0 is tangent to the circle x2+y2=16 then k=

1.  ±20

2.  -1, -5

3.  ±2

4.  4

4

±20

Explanation :
No Explanation available for this question

# If x-y+k=0 is a tangent to the circle x2+y2-2x-4y+3=0 then k=

1.  ±20

2.  -1, -5

3.  ±2

4.  4

4

-1, -5

Explanation :
No Explanation available for this question

# The line x cosα+y sinα=p touches the circle x2+y2-2axcosα-2aysinα=0, then p=

1.  a

2.  2a

3.  –a

4.  a/2

4

2a

Explanation :
No Explanation available for this question

# The equation of the image of the circle x2+y2-6x-4y+12=0 by the line mirror x+y-1=0 is

1.  x2+y2+2x+4y+4=0

2.  x2+y2-2x+4y+4=0

3.  x2+y2+2x+4y-4=0

4.  x2+y2+2x-4y+4=0

4

x2+y2+2x+4y+4=0

Explanation :
No Explanation available for this question

# The equation of the tangent to the circle x2+y2+2x+2y-7=0 which makes 450 with the x axis is

1.  y=x√3+1

2.  y=x±√3

3.  y=x±3√2

4.  y=x√2+3

4

y=x±3√2

Explanation :
No Explanation available for this question

# Equation of the tangent to the circle x2+y2=3, which is include at 600 with the x-axis is

1.  y=√3x+2√3

2.  y√3=x+2√3

3.  y=-x√3+4√3

4.  none

4

y=√3x+2√3

Explanation :
No Explanation available for this question

# How many circles can be drawn each touching all the three lines x+y=1, x+1=y, 7x-y=6

1.  1

2.  2

3.  3

4.  4

4

4

Explanation :
No Explanation available for this question

# The equation of one tangent to the circle with Centre(2,-1) from the origin is 3x + y = 0, then the equation of the other tangent through the origin is

1.  3x-y=0

2.  x+3y=0

3.  x-3y=0

4.  x+2y=0

4

x-3y=0

Explanation :
No Explanation available for this question

# The equation of the tangents to a circle x2+y2-4x-6y-12=0 and parallel to 4x-3y=1 are

1.  4x+3y+14=0, 4x+3y+16=0

2.  4x-3y-24=0, 4x-3y+26=0

3.  4x+3y+14=0, 4x+3y+16=0

4.  4x-3y+34=0, 4x-3y+16=0

4

4x-3y-24=0, 4x-3y+26=0

Explanation :
No Explanation available for this question

# The equation of the tangents to a circle x2+y2-4x-6y-12=0 and parallel to 4x-3y=1 are

1.  4x+3y+14=0, 4x+3y+16=0

2.  4x-3y-24=0, 4x-3y+26=0

3.  4x+3y+14=0, 4x+3y+16=0

4.  4x-3y+34=0, 4x-3y+16=0

4