# The harmonic conjugate of (-9,27) with respect to the points (1,7) and (6,-3) is

1.  (-3,-3)

2.  (3,3)

3.  (15,15)

4.  (-15,-15)

4

(3,3)

Explanation :
No Explanation available for this question

# If A(-1,3), B(1,-1) and C(5,1) are the vertices of a triangle then the length of the median through A is

1.  20

2.  15

3.  10

4.  5

4

5

Explanation :
No Explanation available for this question

# The points D, E, F are the midpoints of the sides BC, CA, AB of ABC respectively. If A=(-2,3) , D(1,-4) and E=(-5,2), then F=

1.  (4,-3)

2.  (-4,3)

3.  (4,3)

4.  (-4,-3)

4

(4,-3)

Explanation :
No Explanation available for this question

# In a ABC, A=(1,2). Mid-points of AB, AC are respectively (3,-2), (4,1). Then B, C are respectively.

1.  (5,-6), (7,0)

2.  (1,-6), (2,-3)

3.  (2,0), (5/2,-3/2)

4.  (-5,6), (0,7)

4

(5,-6), (7,0)

Explanation :
No Explanation available for this question

# Orthocentre of the triangle withy vertices at (3,1), (1,2), (2,4) is

1.  (2,-3/2)

2.  (3/2,2)

3.  (5/2,5/2)

4.  (1,2)

4

(1,2)

Explanation :
No Explanation available for this question

# Vertices of a triangle are A(0,0), B(6,8), C(8,-6). The distance between orthocentre ‘H’ and circumcentre ‘S’ is

1.  10

2.  √50

3.  7

4.  2√5

4

√50

Explanation :
No Explanation available for this question

# The incentre of the triangle formed by (-36,7) , (20,7) and (0,-8) is

1.  (1,0)

2.  (-1,0)

3.  (0,1)

4.  (0,-1)

4

(-1,0)

Explanation :
No Explanation available for this question

# In ABC, B(1,2), C(5,6) and the internal bisector of the angel A cuts BC at D(4,5) then AB/AC=

1.  2:1

2.  3:1

3.  1:3

4.  -3:1

4

3:1

Explanation :
No Explanation available for this question

# Incentre of the triangle formed by the points (0,0), (0,3), (4,0) is

1.  (1,-1)

2.  (1,1)

3.  (1,2)

4.  (2,1)

4

(1,1)

Explanation :
No Explanation available for this question

# The point in the plane, which is equidistant from the sides of a triangle must be

1.  Circumcentre of the triangle

2.  centroid of the triangle

3.  Incentre of the triangle

4.  excentre of the triangle

4