Position of a point w.r.t. a Circle - Basic Quiz

Position of a point w.r.t. a Circle - Basic Quiz

Dear Readers,

Mathematics is an important subject in SSC,DSSB & Other Exams. .

Q1. A point inside the circle x^2+y^2+3x-3y+2=0 is :

•  (– 1, 3)
•  (– 2, 1)
•  (2, 1)
•  (–3, 2)

Solution
(–3, 2)

Q2.Position of the point (1, 1) with respect to the circle x^2+y^2-x+y-1=0 is:

•  Outside the circle:
•  Upon the circle
•  Inside the circle
•  None of these

Solution
Outside the circle

Q3.  The number of tangents that can be drawn from (0, 0) to the circle x^2+y^2+2x+6y-15=0 is :

•  None
•  One
•  TWO
•  Infinite

Solution
None

Q4. The number of tangents which can be drawn from the point (– 1, 2) to the circle x^2+y^2+2x-4y+4=0 is

•  1
•  2
•  3
•  0

Solution
0

Q5.The point (0.1, 3.1) with respect to the circle x^2+y^2-2x-4y+3=0, is

•  At the centre of the circle
•  Inside the circle but not at the centre
•  On the circle
•  Outside the circle

Solution
 Outside the circle

Q6. The number of the tangents that can be drawn from (1, 2) to x^2+y^2=5 is

•  1
•  2
• 3
•  0

Solution
1

Q7.The number of points on the circle 2x^2+2y^2-3x=0 which are at a distance 2 from the point (– 2, 1) is

•  2
•  0
•  1
•  None of these

Solution
0

Q8.If x^2+y^2-6x+8y-11=0 is a given circle and (0, 0), (1, 8) are two points, then

•  Both the points are inside the circle
•  TBoth the points are outside the circle
•  One point is on the circle another is outside the circle
•  One point is inside and another is outside the circle

Solution
One point is inside and another is outside the circle