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

If (1, 2) is the mid point of chords of the circle (x -2)2 +(y -4)2=10 and the equation of the chord is ax + by + c=0(a > 0) then a – b + c=

1.  2

2.  -2

3.  -6

4.  6

View Answer  
4
Correct Answer :

-6


Explanation :
No Explanation available for this question

The locus of midpoints of chords of x2 + y2=a2 which subtend an angle 1200 at the centre is

1.  4x2+ 4y2 =a2

2.  3x2+ 3y2 =a2

3.  2x2+ 2y2 =a2

4.  x2+ y2 =a2

View Answer  
4
Correct Answer :

4x2+ 4y2 =a2


Explanation :
No Explanation available for this question

For all values of λ, the polar of the point (2λ, λ-4) with respect to the circle x2 + y2-4x-6y+1=0 passes through the fixed point

1.  (1, -3)

2.  (-3, -1)

3.  (3, 1)

4.  (2, -3)

View Answer  
4
Correct Answer :

(3, 1)


Explanation :
No Explanation available for this question

The polar of the point (t-1, 2t) w.r.t the circle x2 + y2 -4x + 6y +4=0 passes through the point of intersection of the lines

1.  -3x + 3y +2=0, x – 2y+4=0

2.  x –y -2=0,x +2y-4=0

3.  3x + 3y +2=0, x + 2y +4=0

4.  x –y -2=0,x +2y +4=0

View Answer  
4
Correct Answer :

x –y -2=0,x +2y +4=0


Explanation :
No Explanation available for this question

If the inverse point of (2, -1) with respect to the circle x2 + y2 =9 is (p, q) then q=

1.  -3/5

2.  9

3.  -9/5

4.  18/5

View Answer  
4
Correct Answer :

-9/5


Explanation :
No Explanation available for this question

The points at which the tangent to the circle x2 + y2=13 is perpendicular to the line 2x + 3y +21=0 is:

1.  (3, 2)

2.  (3,-2)

3.  (2, -3)

4.  (2, 3)

View Answer  
4
Correct Answer :

(3,-2)


Explanation :
No Explanation available for this question

The product of the slopes of the tangents from (3, 4) to the circle x2 + y2=4 is

1.  -1

2.  0

3.  5/12

4.  12/5

View Answer  
4
Correct Answer :

12/5


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

If a tangent to the circle x2 + y2 + 4x - 4y+4=0 makes a equal intercepts on the coordinate axes then the equation of that tangent is

1.  x + y=1

2.  x +y =2√2

3.  x + y=√2

4.  x +y=2

View Answer  
4
Correct Answer :

x +y =2√2


Explanation :
No Explanation available for this question
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