# If one end of the diameter of the circle x2+y2-6x+4y-12=0 is (7, -5),  then the other end of the diameter is

1.  (-1, -3)

2.  (-1, 1)

3.  (-4, 3)

4.  (-4, 4)

4
Correct Answer :

(-1, 1)

Explanation :
No Explanation available for this question

# The point diametrically opposite to the point P(1, 0) on the circle x2+y2+2x+4y-3=0 is

1.  (-3, 4)

2.  (-3, -4)

3.  (3, 4)

4.  (3, -4)

4
Correct Answer :

(-3, -4)

Explanation :
No Explanation available for this question

# The centre and radius of the circle with the segment of the line x+y=1 cut of by the coordinate axes as diameter are

1.  (1, 1), √2

2.  (1/2, 1/2), √2

3.  (1/2, 1/2), 1/√2

4.  (0, 0), 1

4
Correct Answer :

(1/2, 1/2), 1/√2

Explanation :
No Explanation available for this question

# The lines 2x-3y=5 and 3x-4y=7 are two diameters of a circle of area 154 sq unit. Then the equation of this circle is

1.  x2+y2+2x-2y-62=0

2.  x2+y2+2x+2y-47=0

3.  x2+y2-12x-2y-7=0

4.  x2+y2-2x+2y-62=0

4
Correct Answer :

x2+y2+2x+2y-47=0

Explanation :
No Explanation available for this question

# A variable circle passes through the fixed point A(p, q) and touches x-axis. The locus of the other end of the diameter through A is

1.  (x-p)2=4qy

2.  (y-q)2=4px

3.  (y-p)2=4qx

4.  (x-q)2=4py

4
Correct Answer :

(x-p)2=4qy

Explanation :
No Explanation available for this question

# If the line 2x+3y+1=0 and 3x-y-4=0 lie along diameters of a circle of circumference 10π, then the equation of the circle is

1.  x2+y2-2x+2y-23=0

2.  x2+y2+2x-2y-23=0

3.  x2+y2+2x+2y-23=0

4.  x2+y2-2x-2y-23=0

4
Correct Answer :

x2+y2-2x+2y-23=0

Explanation :
No Explanation available for this question

# Equation x2+2ax-b2=0 has real roots α, β and equation x2+2px-q2=0 has real roots γ, δ. If circle C is drawn with the points (α, γ), (β, δ)

1.  x2+y2+2ax+2py-b2-q2=0

2.  x2+y2+2ax+2py+b2+q2=0

3.  x2+y2-2ax-2py+b2+q2=0

4.  x2+y2+2ax-2py+b2-q2=0

4
Correct Answer :

x2+y2+2ax+2py-b2-q2=0

Explanation :
No Explanation available for this question

# If (x, 3) and (3, 5) are the ends of the diameter of a circle with centre at (2, y), then the values of x and y are

1.  x=1, y=4

2.  x=4, y=1

3.  x=8, y=2

4.  none

4
Correct Answer :

x=1, y=4

Explanation :
No Explanation available for this question

# If the lines 3x-4y-7 =0and 2x-3y-5=0 are two diameters of a circle of area 49π sq unit. Then the equation of this circle is

1.  x2+y2+2x-2y-62=0

2.  x2+y2+2x+2y-47=0

3.  x2+y2+2x-2y-47=0

4.  x2+y2+2x-2y-62=0

4
Correct Answer :

x2+y2+2x+2y-47=0

Explanation :
No Explanation available for this question

# The centre of the circle (x-2)(x-4)+(y-1)(y+3)=0 is

1.  (3, 2)

2.  (3, -1)

3.  (3, 1)

4.  (1, 3)

4
Correct Answer :

(3, -1)

Explanation :
No Explanation available for this question

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