If x2+y2-2x+3y+k=0 and  x2+y2+8x-6y-7=0 cut each orthogonally, the value of k must be

1.  -10

2.  1

3.  5

4.  -3

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4
Correct Answer :

-10


Explanation :
No Explanation available for this question

If the circles x2+y2+2x-2y+4=0 cuts the circle x2+y2+4x-2fy+2=0 orthogonally, then f=

1.  1

2.  2

3.  -1

4.  -2

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4
Correct Answer :

1


Explanation :
No Explanation available for this question

I:The condition that the roots of x3-px2+qx-r=0 are such that the sum of two of the roots is 0 is pq=r. II:The condition tha

1.  only I is true

2.  only II is true

3.  both I and II are true

4.  neither I nor II true

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4
Correct Answer :

both I and II are true


Explanation :
No Explanation available for this question

If the circles of same radius a and centres (2, -3), (-4, 5) cut orthogonally, then a=

1.  5√2

2.  2√5

3.  √2

4.  √5

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4
Correct Answer :

5√2


Explanation :
No Explanation available for this question

I:The equation whose roots are the squares of the roots of x3-x2+8x-6=0 is x3+15x2+52x+36=0 II:The equ

1.  only I is true

2.  only II is true

3.  both I and II are true

4.  neither I nor II true

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4
Correct Answer :

only II is true


Explanation :
No Explanation available for this question

The equation of the circle which cuts orthogonally the circle x2+y2-4x+2y-7=0 and having centre at (2, 3) is

1.  x2+y2-4x-6y+9=0

2.  x2+y2+2x-4y-2=0

3.  x2+y2+6x-4y+19=0

4.  3x2+3y2+2x+12y-2=0

View Answer  
4
Correct Answer :

x2+y2-4x-6y+9=0


Explanation :
No Explanation available for this question

If  a circle passes through the point (a, b) and cuts the circle x2+y2=4 orthogonally, then the locus of its centre is

1.  2ax+2by+(a2+b2+4)=0

2.  2ax-2by-(a2+b2+4)=0

3.  2ax-2by+(a2+b2+4)=0

4.  2ax+2by-(a2+b2+4)=0

View Answer  
4
Correct Answer :

2ax+2by-(a2+b2+4)=0


Explanation :
No Explanation available for this question

I:The equation obtained by removing second term from x4+8x3+x-5=0 is x4-24x2+65x-55=0 II:The equation

1.   only I is true

2.  only II is true

3.  both I and II are true

4.  neither I nor II true

View Answer  
4
Correct Answer :

both I and II are true


Explanation :
No Explanation available for this question

The equation of the circle passing through (0, 0) and cutting orthogonally the circles x2+y2+6x-15=0, x2+y2-8x+10=0 is

1.  2 x2+2y2-10x-5y=0

2.  2x2+2y2+10x+5y=0

3.  x2+y2-5x+5y=0

4.  2x2+2y2+10x-5y=0

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4
Correct Answer :

2 x2+2y2-10x-5y=0


Explanation :
No Explanation available for this question

The equation of the circle cutting orthogonally the circles x2+y2-8x-2y+16=0, x2+y2-4x-4y-1=0 and passing through the point (1, 1) is

1.  3x2+3y2-14x+23y-15=0

2.  x2+y2+2x-6y-6=0

3.  x2+y2+16y-8=0

4.  4x2+4y2-15x-4=0

View Answer  
4
Correct Answer :

3x2+3y2-14x+23y-15=0


Explanation :
No Explanation available for this question
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