Mathematics
Assertion (A) : A, B and C are three points on the circumference of a circle such that BC is diameter of the circle. If AC = 4 cm and AB = 3 cm, then diameter BC = 4 cm + 3 cm.
Reason (R) : Angle BAC = angle of semi-circle = 90° and so BC2 = AB2 + AC2
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
A is false, but R is true.
Related Questions
Assertion (A) : When the radius of a circle is increased by 3 cm, its diameter will increase by 2 x 3 cm.
Reason (R) : Original radius is r cm, original diameter 2r cm
∴ Increase in length of diameter = 2(r + 3) cm - 2r
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
A is false, but R is true.
Assertion (A) : If a circle is of radius 8 cm and the length of its minor arc is also 8 cm, then the length of major arc = 8(2π - 1) cm.
Reason (R) : For every circle, sum of the length of its major arc and length of its minor arc is equal to the circumference of the circle.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
A is false, but R is true.
The following figure shows the circle with centre O.
Use the figure to fill the blanks in each of the following :
(i) AB = ……………..
(ii) Radius = …………….
(iii) Chords = ……….. and ………..
(iv) Diameter = …………
(v) AB = 2 x ………….
M is a fixed point in a plane and a point P moves in the same plane such that PM = 10 cm. State :
(i) the name of the figure formed.
(ii) the length of the radius of the circle.
(iii) the length of the diameter of the circle.
Can a chord of length 16 cm can be drawn in this circle? Give reason.