# A circle of radius r passes through the origin and meets the axes at A and B. The locus of the centroid of ΔOAB is

1.  x2+y2=4r2

2.  x2+y2=3r2

3.  3(x2+y2)=r2

4.  9(x2+y2)=4r2

4

9(x2+y2)=4r2

Explanation :
No Explanation available for this question

# The straight lines joining the origin to the points of intersection of the line 4x+3y=24 with the curve (x-3)2+(y-4)2=25

1.  are coincident

2.  are perpendicular

3.  made equal angles with x-axis

4.  none

4

are perpendicular

Explanation :
No Explanation available for this question

# A=(cosθ, sinθ) and B==(sinθ, -cosθ) are two points. The locus of the centroid of ΔOAB where O is the origin is

1.  x2+y2=3

2.  9x2+9y2=2

3.  2x2+2y2=9

4.  3x2+3y2=2

4

9x2+9y2=2

Explanation :
No Explanation available for this question

# The equation of the circle which passes through the origin and cuts off chords of length 2 from the lines x=y and x=-y is

1.  x2+y2±2√2x=0, x2+y2±2√2y=0

2.  x2+y2±√3x=0, x2+y2±3√3y=0

3.  x2+y2+4√3x=0, x2+y2±4√3y=0

4.  none

4

x2+y2±2√2x=0, x2+y2±2√2y=0

Explanation :
No Explanation available for this question

# The length and the midpoint of the chord 4x-3y+5=0 w.r.t the cicle x2+y2-2x+4y-20=0 is

1.  8, (-7/5, -1/5)

2.  18, (7/5, 1/5)

3.  10, (-17/5, -11/5)

4.  28, (-7/5, -8/5)

4

8, (-7/5, -1/5)

Explanation :
No Explanation available for this question

# The length and the midpoint of the chord 2x+y-5=0 w.r.t the circle x2+y2=9 is

1.  2, (5, 2)

2.  4, (2, 1)

3.  10, (8, 4)

4.  11, (13, 11)

4

4, (2, 1)

Explanation :
No Explanation available for this question

# The midpoint of the chord formed by the polar of (-9, 12) w.r.t x2+y2=100 is

1.  (4, -3/4)

2.  (-4, 16/3)

3.  (-4, 16/9)

4.  (4, 16/3)

4

(-4, 16/3)

Explanation :
No Explanation available for this question

# The locus of midpoint of chords of the circle x2+y2-2px=0, passing through the origin is

1.  x2+y2+2px=0

2.  x2+y2-px=0

3.  x2+y2+px=0

4.  x2+y2-4px=0

4

x2+y2-px=0

Explanation :
No Explanation available for this question

# The locus of midpoints of the chord of the circle x2+y2 = 25 which pass through a fixed point (4, 6) is a circle. The radius of that circle is

1.  √52

2.  √2

3.  √13

4.  √10

4

√13

Explanation :
No Explanation available for this question

1.  x2+y2-y=0

2.  x2+y2-x=0

3.  x2+y2-2x=0

4.  x2+y2-x-y=0

4