HARD
Earn 100

Let ABCD be a circumscribed (or tangential) quadrilateral. Prove that the circles in the two triangles ABC and ADC are tangent to each other.

Important Questions on Circle

EASY

From a point P outside a circle, PAB is a secant and PT is a tangent to the circle, where A, B and T are points on the circle. If PT=5 cm, PA=4 cm and AB=x cm, then x is equal to :

EASY

In the given figure, QRN=40°, PQR=46° and MN is a tangent at R. What is the value(in degrees) of x, y and z respectively?

Question Image 

HARD
Let R denote the circular region in the xy- plane bounded by the circle x2+y2=36. The lines x=4 and y=3 divide R into four regions Ri, i=1, 2, 3, 4. If Ri denotes the area of the region Ri and if R1>R2>R3>R4, determine |R1|-|R2|-|R3|+|R4|. (Here Ω denotes the area of the region Ω in the plane)
EASY
How many tangents can be drawn to two circles, whose radii are equal to 4 cm and 5 cm respectively and the distance between the two centres is 5 cm.
MEDIUM

A circle can have _____ parallel tangents at the most.

EASY
The centre of a circle lies on the _____ of the angle between the two tangents.
EASY
A line meeting a circle only in one point is called a _____ to the circle.
EASY
_____ tangent line(s) can be drawn from a point situated on circle. (Mention the answer in words)
EASY

A tangent to a circle intersects it in _____ point(s). [Answer in words]

EASY

A circle may have _____ parallel tangents.

HARD

A circle can have _____ tangents.(zero/one/two/infinite)

EASY
There is one and only one _____ to a circle passing through a point lying on the circle.
EASY

A line intersecting a circle in two points is called a _____.

EASY
When the line AB intersects the circle in two distinct points C and D. Then the line AB is called a _____ of the circle.
EASY
 A circle can have _____ parallel tangents at the most. One / Two / Three
EASY

A line intersecting a circle in two distinct points is called a _____.

EASY

A tangent to a circle intersects it in _____ point(s). ( Write answer in words)

EASY

A tangent to a circle is a line that intersects the circle at only _____ point.

EASY

There is _____ tangent to a circle passing through a point lying inside the circle.

(Mention your answer in digits)

MEDIUM

The common point of a _____ to a circle and the circle is called the Point of Contact.