Free Printable All about CIRCLE

1.

General equation of the circle with centre (-3,-4) and radius 3 units is ---

a)

$x^2+y^2-6x-8y+25=0$

b)

$x^2+y^{2\ }+6x+8y-16=0$

c)

$x^2+y^2+6x+8y+16=0$

d)

$x^2+y^2+6x+8y-25=0$

2.

The position of the point (2,3) with respect to the circle

x^2+y^2-6x-8y+12=0

is ____the circle.

a)

inside

b)

outside

c)

on

d)

cannot be identified

3.

Condition for the line y=mx+c to be a tangent to the circle

x^2+y^{2\ }=\ a^2

is ____

a)

$c^{2\ }=\ 1+m^2$

b)

$a^{2\ }=\ c^2\left(1+m^2\right)$

c)

$c^{2\ }=\ a^2\left(1+m^2\right)$

d)

$m^{2\ }=\ a^2\left(1+m^2\right)$

4.

Equation of the tangent to the circle

x^2+y^{2\ }=\ 25\

at (-3,4) is _____

a)

4x+3y=0

b)

- 3x+4y=25

c)

3x-4y = 25

d)

4x-3y=0

5.

If the equation

3x^2+\ \left(a+1\right)y^{2\ }+6x-9y+a+4=0

represents a circle, then value of a is __________

a)

0

b)

1

c)

2

d)

3

6.

Centre and radius of the circle

x^2+y^{2\ }-\ x\ +2y\ -3\ =0

is ________

a)

(1/2,1), $\frac{\sqrt{17}}{2}$

b)

( -1/2, 1), $\frac{\sqrt{15}}{2}$

c)

( - 1, 1/2), $\frac{\sqrt{17}}{5}$

d)

(1/2, -1), $\frac{\sqrt{17}}{2}$

7.

What is the equation of the circle if the end points of the diameter are (-4, -2) and (1,1)?

a)

$x^2+y^2+3x+y-6=0$

b)

$x^2+y^2-3x+y-6=0$

c)

$x^2+y^{2\ }+3x+y+6=0$

d)

$x^2+y^2+3x-y-6=0$

8.

Three equidistant points from a centre point forms a ____

a)

tangent

b)

normal

c)

circle

d)

diameter

9.

Radius of the circle

3x^2+by^2+4bx-6by+b^2=0\

is _____

a)

$\sqrt{11}$

b)

$\sqrt{10}$

c)

3

d)

1

10.

Radius of the circle passing through the point (6,2) two of whose diameter are x+y=6 and x+2y=4 is _______

a)

4

b)

6

c)

10

d)

$2\sqrt{5}$

All about CIRCLE

Total questions: 10

Worksheet time: 15mins

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