# The least distance of the line 8x-4y+73=0 from the circle 16x2+16y2+48x-8y-43=0 is

1.  √5/2

2.  2√5

3.  3√5

4.  4√5

4

2√5

Explanation :
No Explanation available for this question

# The locus of the point whose shortest distance from the circle x2-2x+6y-6=0 is equal to its distance from the line x-3=0 is

1.  x2+6y-4x-9=0

2.  y2+6y+4x+9=0

3.  x2-6y-4x-9=0

4.  y2+6y-4x+9=0

4

y2+6y-4x+9=0

Explanation :
No Explanation available for this question

# The circle x2++y2-4x-4y+4=0 is inscribed in a triangle which has two of its sides are along the coordinate axes. The locus of the circumcentre of the triangle is  x+y-xy+k(x2+y2)

1.  0

2.  1

3.  -1

4.  2

4

1

Explanation :
No Explanation available for this question

# A circle of radius unity is inscribed in a triangle which has two of its sides are along coordinate axes. The locus of circumcentre of the triangle is

1.  x+y-xy=√x2+y2

2.  √x2+y2= x+y+xy

3.  x+y-2xy+√x2+y2=0

4.  √x2+y2= 2xy++x+y

4

x+y-2xy+√x2+y2=0

Explanation :
No Explanation available for this question

# The equation to the side BC of ΔABC is x+5=0. If (-3, 2) is the orthocenter of ΔABC. The point where the altitude through A meets the circumcircle of the triangle is

1.  (2, 7)

2.  (2, -7)

3.  (-7, 2)

4.  (7, -2)

4

(-7, 2)

Explanation :
No Explanation available for this question

# Given A=(0, 6), B=(4, 0), C=(-3, 0), D=(0, -2) concyclic points, the orthcentre of ΔABC is

1.  (2, 0)

2.  (0, -2)

3.  (0, 2)

4.  (2, 2)

4

(0, 2)

Explanation :
No Explanation available for this question

# P is a point on the circumcircle of an equilateral triangle ABC of side a. Then PA2+PB2_PC2=

1.  4a2

2.  3a2

3.  2a2

4.  a2

4

2a2

Explanation :
No Explanation available for this question

# Let P be a point on the circle x2+y2=9, Q a point on the line 7x+y+3=0, and  the perpendicular bisector of PQ be the line x-y+1=0. Then the coordinates of P are

1.  (3, 0)

2.  (0, 3)

3.  (72/25, -21/25)

4.  (72/25, 21/25)

4

(3, 0)

Explanation :
No Explanation available for this question

# The equation of the tangent to the circle x2+y2-2x-4y+3=0 at (2, 3) is

1.  x+2y-10=0

2.  x+2y-5=0

3.  3x+2y-13=0

4.  3x+3y-23=0

4

x+2y-5=0

Explanation :
No Explanation available for this question

1.  2x+y+3=0

2.  2x+y-4=0

3.  2x+y-5=0

4.  none

4