# The locus of the point (l, m) if the lx+my=1 touch the circle x2+y2=a2 is

1.  x2+y2=2a2

2.  2x2+2y2=a2

3.  a2(x2+y2)=1

4.  a2(x2+y2)=2

4

a2(x2+y2)=1

Explanation :
No Explanation available for this question

# The tangent to x2+y2=a2 having inclinations α and β intersect at P. If cotα+cotβ=0, then the locus of P is

1.  x+y=0

2.  x-y=0

3.  xy=0

4.  none

4

xy=0

Explanation :
No Explanation available for this question

# A line segment AM=a moves in the XOY planes such that AM parallel to the X-axis. If A moves along the circle x2+y2=a2, then the locus of M is

1.  x2+y2=4a2

2.  x2+y2=2ax

3.  x2+y2=2ay

4.  x2+y2=2ax+2ay

4

x2+y2=2ax+2ay

Explanation :
No Explanation available for this question

# The circle 4x2+4y2-12x-12y+9=0

1.  touches both the axes

2.  touches the x-axis only

3.  touches the y-axis only

4.  does not touch the axes

4

touches both the axes

Explanation :
No Explanation available for this question

# If the tangent from a point P to the circle x2+y2=1 is perpendicular to the tangent from P to the circle x2+y2=3, then the locus of P is

1.  a circle of radius 2

2.  a circle of radius 4

4.  none

4

Explanation :
No Explanation available for this question

# A tangent to the circle x2+y2=4 meets the coordinate axes at P and Q. The locus of mindpoint of PQ is

1.  1/x2+1/y2=1

2.  1/x2+1/y2=1/4

3.  1/x2+1/y2=1/2

4.  none

4

1/x2+1/y2=1

Explanation :
No Explanation available for this question

# If x2+y2-4x+6y+k=0 touches the x-axis then k=

1.  ±20

2.  -1, -5

3.  ±2

4.  4

4

-1, -5

Explanation :
No Explanation available for this question

# If x2+y2+6x+2ky+25=0 touches the y-axis then k=

1.  ±20

2.  -1, -5

3.  ±5

4.  4

4

±5

Explanation :
No Explanation available for this question

# The equation of the circle with centre at (2,3) and touching x-axis is

1.  x2+y2-4x-6y+4=0

2.  x2+y2+6x-8y+16=0

3.  x2+y2-8x-6y+21=0

4.  x2+y2-24x-10y+144=0

4

x2+y2-4x-6y+4=0

Explanation :
No Explanation available for this question

# The equation of the circle with centre at (-3, 4) and touching y-axis is

1.  x2+y2-4x-6y+4=0

2.  x2+y2+6x-8y+16=0

3.  x2+y2-8x-6y+21=0

4.  x2+y2-24x-10y+144=0

4