= 0 (d) =
- ABCD is a square whose side is a. If
AB and AD be the co-ordinate axes, then
the equation if the circumcircle is:
(a) x^2+y^2+2a(x+y)=0
(b) x^2+y^2+a(x+y)=0
(c) x^2+y^2-a(x+y)a^2= 0
(d) x^2+y^2-a(x+y)=0
- The lines 5x – 12y – 5 = 0 and 10x –
24y + 3 = 0 are tangents to the same
circle. What is the diameter of the circle?
(a) 1 unit (b) 5 units (c) 8 units (d) 1/2
unit
- A tangent is drawn from the origin to
the circle x^2+y^2+2x+2y+1=0. What is
the point of contact?
(a) (-1, -1) (b) (0, -1) (c) (0, 1)
(d) (1, 1)
If are the radii of the
circles
and ,
respectively, then:
(a) (b) (c)
(d)
Two circles
are given. The equation
of the circle through their point of
intersection and the point (1, 1) is given
by:
(a) (b)
(c)
(d)
What is the number of common
tangents to the circles
?
(a) One (b) Two (c) Three (d) Four
Which one of the following
statements is correct?
The circles
(a) touch each other
(b) intersect each other(c) do not intersect each other(d) are concentric- For what value of k, does the
equation 9 = k( )
represents equation of a circle?
(a) 1 (b) 2 (c) -1 (d) 4 - What is the radius of the circle
passing through the points (0, 0), (a, 0)
and (0, b)?
(a) √ (b) √ (c)
√^(^) (d) 2√
- If the extremities of a diameter of a
circle are (0, 0) and ( ), then the
circle passes through which one of the
following points?
(a) ( ) (b) (a, 1/a) (c) (a, -a) (d)
(1/a, a) - What is the length of the intercept
made on the x-axis by the circle +
2gx + 2fy + c = 0?
(a) √(^
(^) )
(b)
√( )
(c)
(^2) √( ) (d) 2√( )