The least distance of the line 8x-4y+73=0 from the circle 16x2+16y2+48x-8y-43=0 is

1.  √5/2

2.  2√5

3.  3√5

4.  4√5

View Answer  
4
Correct Answer :

2√5


Explanation :
No Explanation available for this question

The locus of the point whose shortest distance from the circle x2-2x+6y-6=0 is equal to its distance from the line x-3=0 is

1.  x2+6y-4x-9=0

2.  y2+6y+4x+9=0

3.  x2-6y-4x-9=0

4.  y2+6y-4x+9=0

View Answer  
4
Correct Answer :

y2+6y-4x+9=0


Explanation :
No Explanation available for this question

The circle x2++y2-4x-4y+4=0 is inscribed in a triangle which has two of its sides are along the coordinate axes. The locus of the circumcentre of the triangle is  x+y-xy+k(x2+y2)

1.  0

2.  1

3.  -1

4.  2

View Answer  
4
Correct Answer :

1


Explanation :
No Explanation available for this question

A circle of radius unity is inscribed in a triangle which has two of its sides are along coordinate axes. The locus of circumcentre of the triangle is

1.  x+y-xy=√x2+y2

2.  √x2+y2= x+y+xy

3.  x+y-2xy+√x2+y2=0

4.  √x2+y2= 2xy++x+y

View Answer  
4
Correct Answer :

x+y-2xy+√x2+y2=0


Explanation :
No Explanation available for this question

The equation to the side BC of ΔABC is x+5=0. If (-3, 2) is the orthocenter of ΔABC. The point where the altitude through A meets the circumcircle of the triangle is

1.  (2, 7)

2.  (2, -7)

3.  (-7, 2)

4.  (7, -2)

View Answer  
4
Correct Answer :

(-7, 2)


Explanation :
No Explanation available for this question

Given A=(0, 6), B=(4, 0), C=(-3, 0), D=(0, -2) concyclic points, the orthcentre of ΔABC is

1.  (2, 0)

2.  (0, -2)

3.  (0, 2)

4.  (2, 2)

View Answer  
4
Correct Answer :

(0, 2)


Explanation :
No Explanation available for this question

P is a point on the circumcircle of an equilateral triangle ABC of side a. Then PA2+PB2_PC2=

1.  4a2

2.  3a2

3.  2a2

4.  a2

View Answer  
4
Correct Answer :

2a2


Explanation :
No Explanation available for this question

Let P be a point on the circle x2+y2=9, Q a point on the line 7x+y+3=0, and  the perpendicular bisector of PQ be the line x-y+1=0. Then the coordinates of P are

1.  (3, 0)

2.  (0, 3)

3.  (72/25, -21/25)

4.  (72/25, 21/25)

View Answer  
4
Correct Answer :

(3, 0)


Explanation :
No Explanation available for this question

The equation of the tangent to the circle x2+y2-2x-4y+3=0 at (2, 3) is

1.  x+2y-10=0

2.  x+2y-5=0

3.  3x+2y-13=0

4.  3x+3y-23=0

View Answer  
4
Correct Answer :

x+2y-5=0


Explanation :
No Explanation available for this question

The normal of the circle(x-2)2+(y-1)2=16 which bisects the chord cut off by the line x-2y-3=0 is

1.  2x+y+3=0

2.  2x+y-4=0

3.  2x+y-5=0

4.  none

View Answer  
4
Correct Answer :

2x+y-5=0


Explanation :
No Explanation available for this question
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