AB is a diameter of a circle and 'C' is ...

AB is a diameter of a circle and 'C' is any point on the circumference of the circle .Then

The area of `triangleABC` is maximum when it is isosceles

The area of `triangleABC` is minimum when it is equilateral

The perimeter of `triangleABC` is maximum when it is right angled

none of these

Text Solution

Verified by Experts

Topper's Solved these Questions

CARTESIAN COORDINATES AND STRAIGHT LINE
PATHFINDER|Exercise QUESTION BANK|249 Videos
COMPLEX NUMBER
PATHFINDER|Exercise QUESTION BANK|224 Videos

Similar Questions

Explore conceptually related problems

AOB is the diameter of a circle. C is a point on the circumference of the circle. If /_OAC = 60^@ then find the value of /_OBC .

AB is a diameter of a circle. C is any point on the circle, angleACB=

AB is a diameter of the circle with centre at O. R is any point on the circumference of the circle. If /_ ROA = 120^@ , then firnd the volue of /_RBO /

AOB is a diameter of a circle , C is a point on the circle. If angle OBC=60^(@) , then find the value of angleOCA

AB is a diameter of a circle with centre at O. C is any point on the circle. If angleBOC = 110^@ , then angleBAC =

AOB is a diamter of a circle with centreO, C is any point on the circle If AC = 6cm and BC = 8cm then AB=

AOB is a diameter of a circle with centre O and C is any point on the circle, joining A, C, B, C, and O, C, prove that tanangleABC=cotangleACO

AOB is a diameter of a circle with centre O and C is any point on the circle, joining A, C, B, C, and O, C, prove that sin^(2)angleBCO+sin^(2)angleACO=1

AOB is a diameter of a circle with centre O and C is any point on the circle, joining A, C, B, C, and O, C, prove that cosec^(2)angleCAB-1=tan^(2)angleABC .

AB is a diameter of a circle with centre O , P is any point on the circle, the tangent drawn through the point P intersects the two tangents drawn through the points A and B at the points Q and R respectively. If the radius of the circle be r , then prove that PQ.PR=r^(2) .

PATHFINDER-CIRCLE-QUESTION BANK

Area of the triangle formed by the positive x-axis and the normal and ...
Text Solution
|
if the distances from the origin to the centre of three circles x^2+y^...
Text Solution
|
AB is a diameter of a circle and 'C' is any point on the circumference...
Text Solution
|
The centres of a set of circles, each of radius 3 , lie on the circle ...
Text Solution
|
A circle touches the x-axis and also touches the circle with centre (0...
Text Solution
|
A square is inscribed in the circle x^2+y^2-2x+4y-93=0 with its sides ...
Text Solution
|
The difference between the radii of the largest and the smallest circl...
Text Solution
|
An isosceles triangle ABC inscribed in a circle x^2+y^2=a^2 with the v...
Text Solution
|
The equation of circumcircle of an equilateral triangle is x^2+y^2+2gx...
Text Solution
|
The number of common tangents to the circles x^2+y^2=4 and x^2+y^2-6x-...
Text Solution
|
If the points (0,0),(1,0),(0,1) and (t,t) are concyclic, then t=
Text Solution
|
If a circle of constant radius 3K passes through the origin and meets ...
Text Solution
|
The equation of the circle which touches the axis of y at the origin a...
Text Solution
|
Area of the circle in which a chord of length sqrt2 makes an angle pi/...
Text Solution
|
The greatest distance of the point P (10,7) from the circle x^2+y^2-4x...
Text Solution
|
The length of the chord cut off by y=2x+1 from the circle x^2+y^2=2 is
Text Solution
|
The common chord of x^2+y^2-4x-4y=0 and x^2+y^2=16 subtends at the ori...
Text Solution
|
If the line hx+ky=1 touches x^2+y^2=a^2 , then the locus of the point ...
Text Solution
|
The number of tangents that can be drawn from the point (8,6) to the c...
Text Solution
|
If the point (k+1,k) lies inside the region bound by the curve x=sqrt(...
Text Solution
|