Test Details

Circles

Test

Jan 27, 1:22 PM

40 minutes

Jan 27, 2:02 PM

30.0 marks

MCQ

20 questions

Rajeev Ranjan

I have been teaching Maths since 2010 at H.S.DAV Public School Narkatiaganj. I am working here as a T.G.T. I teach Maths.

Class Details

Mathematics

Class -10 B

Mathematics

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Question Text

Question 1 :
If P is a point on a circle with centre C, then the line drawn through P and perpendicular to CP is the tangent to the circle at the point P.

Question 2 :
The length of the tangents from a point A to a circle of radius $3$ cm is $4$ cm. The distance (in cm) of A from the center of the circle is:

Question 3 :
Assertion: If length of a tangent from an external point to a circle is 8 cm, then length of the other tangent from the same point is 8 cm. Reason: Length of the tangents drawn from an external point to a circle are equal.

Question 4 :
The tangents drawn at the ends of a diameter of a circle are ?

Question 5 :
The common point of a tangent to a circle and the circle is called .....

Question 6 :
Write True or False and give reasons for your answer in the following: A pair of tangents can be constructed from a point P to a circle of radius 3.5 cm situated at a distance of 3 cm from the center.

Question 7 :
There cannot be more than two tangents to a circle parallel to a given secant.

Question 8 :
The number of pair of tangents can be drawn to a circle, which are parallel to each other, are ............

Question 9 :
Lines are drawn through the point P(-2, -3) to meet the circle ${ x }^{ 2 }+{ y }^{ 2 }-2x-10y+1=0$. The length of the line segment PA.A being the point on the circle where the line meets the circle at coincident points, is

Question 10 :
The point lying on common tangent to the circle $x^2+y^2=4$ and $x^2+y^2+6x+8y-24=0$ is

Question 11 :
A line touches a circle of radius 4 cm. Another line is drawn which is tangent to the circle. If the two lines are parallel then distance between them is

Question 12 :
The straight line that touches the circle at only one point is ________

Question 13 :
The number of tangents to the circle ${ x }^{ 2 }+{ y }^{ 2 }-8x-6y+9=0$ which passes through the point $(3,-2)$ is

Question 14 :
The radius of the circle which has the lines ${x}+{y}-1=0$ and ${x}+{y}-9=0$ as tangents is

Question 15 :
An equation of the tangent to the circle $ x^{2} + y^{2} + 4x -4y + 4 = 0$ which makes equal intercepts on the coordinate axes, is given by

Question 16 :
The number of common tangents to the circles $x^{2} + y^{2} = 4$ and $x^{2} + y^{2} - 4x + 2y - 4 = 0$ is

Question 17 :
The tangents drawn from origin to the circle ${ x }^{ 2 }+{ y }^{ 2 }-2ax-2by+{ b }^{ 2 }=0$ are perpendicular to each other, if

Question 18 :
If the angle between the tangent from $(0,0)$ to the circle ${x}^{2}+{y}^{2}+10x+10y+40=0$ is ${\tan}^{-1}(m)$, then $m=$

Question 19 :
Slope of tangent to the circle ${(x-r)}^{2}+{y}^{2}={r}^{2}$ at the point $(x,y)$ lying in the circle is-

Question 20 :
Find the centres of the circles passing through $(-4,3)$ and touching the lines $x+y=2$ and $x-y=2$.

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