# The number of common tangents to the Circles x2+ y2 –x=0, x2 + y2 –x = 0,is:

1.  1

2.  2

3.  3

4.  4

4

3

Explanation :
No Explanation available for this question

# Consider the circles x2+(y-1)2=9,(x-1)2+y2=25 .They are such that :

1.  touch each other

2.  one of these circles lies entirely inside the other

3.  Each of their circles lies

4.  intersect in two points

4

one of these circles lies entirely inside the other

Explanation :
No Explanation available for this question

# The length of tangent from (0,0) to the circle 2(x2+y2)+x–y+5=0,is:

1.  √5

2.  √5/2

3.  √2

4.  (5/2)1/2

4

(5/2)1/2

Explanation :
No Explanation available for this question

# The circumcentre of triangle formed by the lines xy+2x+2y+4=0,x+ y+2=0 is:

1.  (0,0)

2.  (-2,-2)

3.  (-1,-1)

4.  (-1,-2)

4

(-1,-1)

Explanation :
No Explanation available for this question

# The angle between the pair of lines 2x2+5xy+2y2+3x+3y+1=0,is:

1.  cos-1(4/5)

2.  tan-1(4/5)

3.  0

4.  π/2

4

cos-1(4/5)

Explanation :
No Explanation available for this question

# The distance between the parallel lines 9x2-6xy+y2+18x-6y+8=0 is:

1.  1/√10

2.  2/√10

3.  4/√10

4.  √10

4

2/√10

Explanation :
No Explanation available for this question

# A point equidistant from the lines 4x+3y=10=0,5x-12y+26=0 and 7x+24y-50=0 is:

1.  (1,-1)

2.  (1,1)

3.  (0,0)

4.  (0,1)

4

(0,0)

Explanation :
No Explanation available for this question

# The lines 2x+y-1=0,ax+3y-3=0,3x+2y-2=0 are concurrent:

1.  for all a

2.  for a = 4 only

3.  for -3 ≤ a ≤ 3

4.  for a>0 only

4

for all a

Explanation :
No Explanation available for this question

# The diagonals of parallelogram whose sides are lx+my+n=0, 1x+my+n'=0,mx+ly+n=0 and mx+ly+n'=0 include an angle:

1.  π/3

2.  π/2

3.   tan-1[(l2-m2)/(1+m2)]

4.  tan-1[(2lm)/(l2+m2)]

4

π/2

Explanation :
No Explanation available for this question

1.  incenter

2.  centroid

3.  circumcentre

4.  orthocenter

4