CONIC SECTIONS

1. The length of the common chord of the
   circles + 2x + 3y + 1= 0 and
   is:

(a) 9/2 (b) 2√ (c) 3√ (d) 3/2

2. The equation of circle with centre (1,

2. and tangent x + y – 5= 0 is:
   (a) (b)
   (c)
   (d)

3. If , then the equation
   will
   represent:
   (a) a circle of radius g (b) a circle of

radius f (c) a circle of diameter √ (d) a
circle of radius 0

4. The value of λ, for which the circle
   intersects
   the circle
   orthogonally, is:
   (a) 11/8 (b) -1 (c) -5/4 (d) 5/2


5. The circle
   cuts x-axis at:
   (a) (2, 0), (-3, 0) (b) (3, 0), (4, 0) (c) (1,
   0), (-1, 0) (d) (1, 0), (2, 0)


6. Which of the following is a point on the
   common chord of the circles
   and
   ?
   (a) (1, -2) (b) (1, 4)

(c) (1, 2) (d) (1, -4)

7. The radius of the circle passing
   through the point (6, 2) and two of

whose diameters are x + y= 6 and x + 2y=

4 is:

(a) 4 (b) 6 (c) 20 (d) √

8. If the two circles - 3x + 6y +
   k= 0 and
   cut orthogonally, then the value of k is:
   (a) 41 (b) 14 (c) 4 (d) 0


9. The lines 2x – 3y= 5 and 3x – 4y= 7 are
   diameters of a circle having area as 154
   sq units. Then the equation of the circle
   is:
   (a) (b)
   (c)
   (d)


10. The co-ordinates of the centre and
    the radius of the circle
    are respectively, given by:
    (a) (-4, 6) and 6 (b) (4, -6) and 7 (c) (2, -

3. and 6 (d) (-2, 3) and 7

11. The equation
    , represents a circle of non-zero
    radius, if:
    (a) > c (b) (c)

• c
  (d)

12. 
    

    If are real
    numbers such that > , then
    the equation:

    
    

    0
    represents a circle if and only if:
    (a) (b) (c)