Advertisements
Advertisements
प्रश्न
If AOB is a diameter of a circle and C is a point on the circle, then AC2 + BC2 = AB2.
पर्याय
True
False
उत्तर
This statement is True.
Explanation:
Since, any diameter of the circle subtends a right angle to any point on the circle.
If AOB is a diameter of a circle and C is a point on the circle, then ΔACB is right angled at C.
In right angled ΔACB,
AC2 + BC2 = AB2 ...[Use Pythagoras theorem]
APPEARS IN
संबंधित प्रश्न
In the given figure, tangents PQ and PR are drawn from an external point P to a circle with centre O, such that ∠RPQ = 30°. A chord RS is drawn parallel to the tangent PQ. Find ∠RQS.
Prove that the intercept of a tangent between two parallel tangents to a circle subtends a right angle at center.
In the given figure, PA and PB are the tangent segemtns to a circle with centre O. Show that he points A, O, B and P are concyclic.
PQ is a chord of length 4.8 cm of a circle of radius 3cm. The tangents at P and Q intersect at a point T as shown in the figure. Find the length of TP.
The circumference of a circle is 22 cm. The area of its quadrant (in cm2) is
On a semi-circle with AB as diameter, a point C is taken, so that m (∠CAB) = 30°. Find m(∠ACB) and m (∠ABC).
In the given figure, OQ : PQ = 3.4 and perimeter of Δ POQ = 60 cm. Determine PQ, QR and OP.
In an equilateral triangle, prove that the centroid and center of the circum-circle (circumcentre) coincide.
A chord is 12 cm away from the centre of the circle of radius 15 cm. Find the length of the chord
Let s denote the semi-perimeter of a triangle ABC in which BC = a, CA = b, AB = c. If a circle touches the sides BC, CA, AB at D, E, F, respectively, prove that BD = s – b.