# The locus of a point, which moves in such a way that the sum of the squares of its distance from the four sides of a square is constant (=2c2) is,

1.  a straight line

2.  a circle

3.  an ellipse

4.  a parabola

4

a circle

Explanation :
No Explanation available for this question

# If a point moves so that the sum of the squares of the perpendiculars from it on the side of an equilateral  triangle is constant; then its locus is a

1.  line

2.  circle

3.  pair of lines

4.  none

4

circle

Explanation :
No Explanation available for this question

# A square inscribed in the circle x2+y2-2x+4y+3=0. Its sides are parallel to the coordinate axes, then one vertex of the square is

1.  (1+√2, -2)

2.  (1-√2, -2)

3.  (1, -2+√2)

4.  none

4

none

Explanation :
No Explanation available for this question

# A and B are fixed points and P moves such that PA=nPB and n≠1. The locus of P is

1.  straight line

2.  Pair of straight line

3.  circle

4.  none

4

circle

Explanation :
No Explanation available for this question

# A square inscribed in the circle x2+y2-2x+4y-93=0 with its sides parallel to the coordinate axes. One vertex of the square is

1.  (5, 8)

2.  (8, 5)

3.  (8, -5)

4.  (-8, 5)

4

(-8, 5)

Explanation :
No Explanation available for this question

# The number of points where the circle x2+y2-4x-4y=1 cuts the sides of the rectangle x=2 , x=5 , y=-1 and y=5 is

1.  5

2.  1

3.  2

4.  3

4

3

Explanation :
No Explanation available for this question

# The shortest distance from (-2, 14) to the circles x2+y2-6x-4y-12=0 is

1.  8

2.  4

3.  2

4.  1

4

8

Explanation :
No Explanation available for this question

# The longest distance from (-3, 2) to the circles x2+y2-2x+2y+1=0 is

1.  8

2.  4

3.  18

4.  6

4

6

Explanation :
No Explanation available for this question

# The nearest point on the circle x2+y2-6x-4y-12=0 from (-5, 4) is

1.  (1, 1)

2.  (-1, 1)

3.  (-1, 2)

4.  (-2, 2)

4

(-1, 1)

Explanation :
No Explanation available for this question

1.  (5, -7)

2.  (-1, 1)

3.  (-1, 2)

4.  (-2, 2)

4