If (1,2),(3,4) are limiting points and x2+y2-x+ky=0 is one circle of a coaxal system then k=

1.  9

2.  -9

3.  -3

4.  3

View Answer  
4
Correct Answer :

-3


Explanation :
No Explanation available for this question

The equation ax2+ay2+az2+2ux+2vy+2wz+d=0,a≠0 represent a sphere if

1.  u2+v2+w2-ad≥0

2.  u2+v2+w2-ad≤0

3.  u2+v2+w2+ad≥0

4.  u2+v2+w2+ad≤0

View Answer  
4
Correct Answer :

u2+v2+w2-ad≥0


Explanation :
No Explanation available for this question

The equation x2+y2+z2+2ux+2vy+2wz+d=0 represents a sphere if u2+v2+w2-d is

1.  Positive or zero

2.  -2

3.  Negative

4.  Zero or negative

View Answer  
4
Correct Answer :

Positive or zero


Explanation :
No Explanation available for this question

Centre of the sphere (x-x1)(x-x2)+(y-y1)(y-y2)+(z-z1)(z-z2)=0

1.  [(x1+x2)/2,(y1+y2)/2,(z1+z2)/2]

2.  [(x1-x2)/2,(y1-y2)/2,(z1-z2)/2]

3.  (x2,y ,z2)

4.  (x1,y1,z1)

View Answer  
4
Correct Answer :

[(x1+x2)/2,(y1+y2)/2,(z1+z2)/2]


Explanation :
No Explanation available for this question

Number of circles that can be drawn to touching all the three lines x+y-2=0,3x+4y+7=0 and 2x+2y-3=0

1.  4

2.  2

3.  1

4.  0

View Answer  
4
Correct Answer :

2


Explanation :
No Explanation available for this question

The length of the direct common tangent of the circles x2+y2-4x-10y+28=0 and x2+y2+4x-6y+4=0 is

1.  16

2.  √20

3.  4

4.  2

View Answer  
4
Correct Answer :

4


Explanation :
No Explanation available for this question

The length of the common chord of the circles(x-a2)+y2=a2 and x2+(y-b)2=b2 is

1.  

2.  ab/(a+b)

3.  2ab/(a2+b2)

4.  

View Answer  
4
Correct Answer :


Explanation :
No Explanation available for this question

Order and degree of (d2y/dx2)3+(dy/dx)=ex are

1.  1,2

2.  2,3

3.  3,1

4.  1,1

View Answer  
4
Correct Answer :

2,3


Explanation :
No Explanation available for this question

Order and degree of (d2y/dx2)3-(dy/dx)4+y3=cosecx are

1.  2,3

2.  1,4

3.  3,4

4.  1,2

View Answer  
4
Correct Answer :

2,3


Explanation :
No Explanation available for this question

The D.E whose solution is y=c/x is

1.  y1+xy=0

2.  y1=xy

3.  xdy+ydx=0

4.  xdy-ydx=0

View Answer  
4
Correct Answer :

xdy+ydx=0


Explanation :
No Explanation available for this question
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