# The centre of the circle circumscribing the triangle formed by the line 3x+4y=24 with axes is

1.  (4, 3)

2.  (-4, 3)

3.  (3, 4)

4.  (3, -4)

4

(4, 3)

Explanation :
No Explanation available for this question

# The centre of the incircle of the triangle formed by the line 3x+4y=24 with the axes is

1.  (3, 3)

2.  (2, 2)

3.  (-2, 2)

4.  (2, -2)

4

(2, 2)

Explanation :
No Explanation available for this question

# Equation of the circle passing through A(1, 2), B(5, 2) so that the angle substended by AB at points on the circle is π/4 is

1.  x2+y2-6x-8=0

2.  x2+y2-6x-8y+17=0

3.  x2+y2-6x+8=0

4.   x2+y2-6x-8y-25=0

4

x2+y2-6x-8y+17=0

Explanation :
No Explanation available for this question

# The equation of the diameter of the circle x2+y2+2x-4y-4=0, that is parallel to 3x+5y-4=0 is

1.  3x+5y=7

2.  3x+5y=-7

3.  3x-5y=7

4.  3x-5y=-7

4

3x+5y=7

Explanation :
No Explanation available for this question

# The area of the circle (x+1)(x+2)+(y-1)(y+3)=0 is

1.  17π/4

2.  17π/2

3.  2π/17

4.  none

4

17π/4

Explanation :
No Explanation available for this question

# A straight line move such  that the algebraic sum of the perpendiculars drawn to it from two fixed points is equal to2k. Then the straight line always touches a fixed circle of radius

1.  2k

2.  k/2

3.  k

4.  none

4

k

Explanation :
No Explanation available for this question

# If the base of a triangle and the ratio of the lengths of the other two unequall sides are given, then the vertex lies on

1.  a straight line

2.  a circle

3.  an ellipse

4.  a parabola

4

a circle

Explanation :
No Explanation available for this question

# The condition that the chord xcosα+ysinα-p=0 of x2+y2-a2=0 may subtend a right angle at he cnetre of the circle is

1.  a2=2p2

2.  p2=2a2

3.  a=2p

4.  p=2a

4

a2=2p2

Explanation :
No Explanation available for this question

# An equilateral triangle is inscribed in the circle x2+y2=a2 . The length of the side of the triangle is

1.  a√2

2.  a√3

3.  2a

4.  none

4

a√3

Explanation :
No Explanation available for this question

1.  √6

2.  2

3.  2√2

4.  2√6

4