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)

View Answer  
4
Correct Answer :

(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)

View Answer  
4
Correct Answer :

(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

View Answer  
4
Correct Answer :

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

View Answer  
4
Correct Answer :

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

View Answer  
4
Correct Answer :

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

View Answer  
4
Correct Answer :

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

View Answer  
4
Correct Answer :

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

View Answer  
4
Correct Answer :

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

View Answer  
4
Correct Answer :

a√3


Explanation :
No Explanation available for this question

If an equilateral triangle is inscribed in the circle x2+y2-6x-4y+5=0 then its side is

1.  √6

2.  2

3.  2√2

4.  2√6

View Answer  
4
Correct Answer :

2√6


Explanation :
No Explanation available for this question
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