If the parabola (y-2)2=p(x+1) passes through (3,6) then its directrix is

1.  4x-1=0

2.  4x+3=0

3.  4x+5=0

4.  x+2=0

View Answer  
4
Correct Answer :

x+2=0


Explanation :
No Explanation available for this question

The axis of symmetry of the conic y=ax2+bx+c is

1.  y=ax

2.  b+2ax=0

3.  x=0

4.  y=0

View Answer  
4
Correct Answer :

b+2ax=0


Explanation :
No Explanation available for this question

If (4,8) is one end of a focal chord of the parabola y2=16x then its equation is

1.  x-y=16

2.  x+y=12

3.  x=4

4.  y=8

View Answer  
4
Correct Answer :

x=4


Explanation :
No Explanation available for this question

Focus of the parabola 4x2-12x+8y+13=0 is

1.  (3/2,-1)

2.  (3/2,-3)

3.  (3/2,-5)

4.  (3/2,-2)

View Answer  
4
Correct Answer :

(3/2,-1)


Explanation :
No Explanation available for this question

A circle C of radius 2 units rolls inside the rim of the circle x2+y2+8x-2y-19=0.Then the locus of the centre of C is

1.  x2+y2-8x+2y+1=0

2.  x2+y2+8x-2y+1=0

3.  x2+y2+8x-2y-1=0

4.  x2+y2+8x-2y-47=0

View Answer  
4
Correct Answer :

x2+y2+8x-2y+1=0


Explanation :
No Explanation available for this question

If the circles (x+a)2+(y+b)2=a2 ,(x+α)2+(y+β)2 =β2 cut orthogonally then a2+b2

1.  2(aα+bβ)

2.  -2(aα+bβ)

3.  α2+β2

4.  aα+bβ

View Answer  
4
Correct Answer :

2(aα+bβ)


Explanation :
No Explanation available for this question

The angle between the tangents from a point on x2+y2+2x+4y-31=0 to the circle x2+y2+2x+4y-4=0 is

1.  π/3

2.  π/4

3.  π/2

4.  π/6

View Answer  
4
Correct Answer :

π/3


Explanation :
No Explanation available for this question

Two equal circles with their centers on X and Y-axis will posses the radical axis in the following form

1.  2g2x+2f2y-g4-f4=0

2.  g2x+f2y-g4-f4=0

3.  2gx+2fy-g2+f2=0

4.  ax-by-(a2+b2/4)=0

View Answer  
4
Correct Answer :

2gx+2fy-g2+f2=0


Explanation :
No Explanation available for this question

The radical axis of the circle x2+y2+4x-6y=12 and x2+y2+2x-2y-1=0 divides the line joining the centers of the circles in the ratio

1.  -3:7

2.  -27:17

3.  3:7

4.  27:17

View Answer  
4
Correct Answer :

-27:17


Explanation :
No Explanation available for this question

(a,c) and (b,c) are the centers of two circles whose radical axis is the y-axis.If the radius of first circle is r then diameter of the other circle is

1.  

2.  2(r2-b2+a2)

3.  

4.  

View Answer  
4
Correct Answer :


Explanation :
No Explanation available for this question
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