Test Details

Circles

Feb 10, 9:00 PM

120 minutes

Feb 11, 9:00 PM

50.0 marks

MCQ

25 questions

Ritesh Kr Jha

M.SC+B.ED

Class Details

Mathematics & Science

PIMS, Araria

Mathematics & Science

For Class 6th to 10th Maths & Science for Class 11th to 12th Maths only B.S.E.B & C.B.S.E

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Question Text

Question 1 :
The tangents drawn at the ends of a diameter of a circle are ?

Question 2 :
There is no tangent to a circle passing through a point lying ..... the circle.

Question 3 :
The common point of a tangent to a circle and the circle is called .....

Question 4 :
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:<br/>

Question 5 :
The lengths of tangent drawn from an external point to a circle are equal.

Question 6 :
The number of pair of tangents can be drawn to a circle, which are parallel to each other, are ............

Question 8 :
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 9 :
If a line intersects a circle in two distinct points then it is known as a

Question 10 :
From a point A which is at a distance of 10 cm from the center O of a circle of radius 6 cm, the pair of tangents AB and AC to the circle are drawn. Then the area of Quadrilateral ABOC is: <br/>

Question 11 :
The equation of the circle which has a tangent $2x-y-1=0$ at $(3,5)$ on it and with the center on $x+y=5$, is

Question 12 :
If the straight line $3x+4y = k$ touches the circle $x^2+y^2 = 16x$, then the value of $k$ is

Question 13 :
The length of tangent from the point $(-1,2)$ to the circle $x^2 + y^2 - 8x + 5y - 7 = 0$.

Question 14 :
A tangent from $P$, a point in the exterior of a circle touches circle at $Q$. If $OP=13$, $PQ=5$, then the diameter of the circle is ______________

Question 15 :
If radius of circle is 5 cm and distance from centre to the point of intersection of 2 tangents in 13 cm. Find length of tangent.

Question 17 :
Given $4{ \lambda }^{ 2 }-5{ \mu }^{ 2 }+6\lambda +1=0$. If $\lambda x+\mu y+1=0$ touches a definite circle, then centre and radius will be

Question 18 :
The curve given by $x + y = e ^ { x y }$ has a tangent parallel to the $y$ -axis at the point

Question 19 :
Find the centres of the circles passing through $(-4,3)$ and touching the lines $x+y=2$ and $x-y=2$.

Question 20 :
$lx+my+n=0$ is a tangent line to the circle ${ x }^{ 2 }+{ y }^{ 2 }={r}^{2}$, if-

Question 21 :
What is the length of shortest path by which one can go from $(-2,0)$ to $(2,0)$ without entering the interior of circle, ${ x }^{ 2 }+{ y }^{ 2 }=1$?

Question 22 :
The equation of the circle of the radius$2\sqrt{2}$ whose centre lies on the line $x-y=0$ and which touches the line $x+y=4$, and whose centre's coordinates satisfy the inequality $x+y>4$ is

Question 23 :
A tangent drawn from the point (4, 0) to the circle $\displaystyle x^{2}+y^{2}=8 $ touches it at a point A in the first quadrant. The coordinates of another point B on the circle such that $AB$ = 4 are

Question 24 :
The radius of the circle touching the straight lines $x-2y-1=0$ and $3x-6y+7=0$ is

Question 25 :
The square of the length of the tangent from $\left( 3,-4 \right) $ to the circle ${ x }^{ 2 }+{ y }^{ 2 }-4x-6y+3=0$ is

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