The length of the intercept made by the sphere x2+y2+z2-6x+2y-4z-4=0 on x-axis is

1.  16

2.  2√13

3.  13

4.  9

View Answer  
4
Correct Answer :

2√13


Explanation :
No Explanation available for this question

If the plane 2ax-3ay+4az+6=0 passes through the midpoint of the line joining the centres of the spheres x2+y2+z2+6x-8y-2z=13 and x2+y2+z2-10x+4y-2z=8 then a=

1.  -1

2.  1

3.  -2

4.  2

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4
Correct Answer :

-2


Explanation :
No Explanation available for this question

The radius of the sphere x2+y2+z2-2x+4y-6z+7=0 is

1.  49

2.  5

3.  -7

4.  √7

View Answer  
4
Correct Answer :

√7


Explanation :
No Explanation available for this question

The angle between the circles x2+y2-4x-6y-3=0 and x2+y2+8x-4y+11=0 is

1.  π/2

2.  π/4

3.  π/3

4.  π/12

View Answer  
4
Correct Answer :

π/3


Explanation :
No Explanation available for this question

The radical axis of the circles x2+y2-6x-4y-44=0 and x2+y2-14x-5y-24=0 is

1.  8x+y-30=0

2.  8x+y+20=0

3.  8x+3y-20=0

4.  8x+y-20=0

View Answer  
4
Correct Answer :

8x+y-20=0


Explanation :
No Explanation available for this question

The locus of the centre of a circle which cuts the circles 2x2+2y2-x-7=0 and 4x2+4y2-3x-y=0 orthogonally is a straight line whose slope is

1.  -1

2.  1

3.  -2

4.  -5/2

View Answer  
4
Correct Answer :

-1


Explanation :
No Explanation available for this question

The perpendicular distance from the origin to the radical axis of the circles 2x2+2y2-3x-y+3=0 and 3x2+3y2-x+y-1=0 is

1.  √2

2.  11/√74

3.  √5/2

4.  √(5/2)

View Answer  
4
Correct Answer :

11/√74


Explanation :
No Explanation available for this question

The perpendicular distance of radical axis determined by the circles x2+y2+2x+4y-7=0 and x2+y2-6x+2y-5=0 from the origin is

1.  1/√17

2.  1/4

3.  1/5

4.  2/17

View Answer  
4
Correct Answer :

1/√17


Explanation :
No Explanation available for this question

The distance of (1, -2) from the common chord of x2+y2-5x+4y-2=0 and x2+y2-2x+8y+3=0 is

1.  2

2.  1

3.  0

4.  3

View Answer  
4
Correct Answer :

0


Explanation :
No Explanation available for this question

The distance of the point (1,2) from the common chord of the circles x2+y2-2x-6y-6=0 and x2+y2+6x-16=0 is

1.  1

2.  1/5

3.  5

4.  2

View Answer  
4
Correct Answer :

1


Explanation :
No Explanation available for this question
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