हिंदी

If AOB is a diameter of a circle and C is a point on the circle, then AC2 + BC2 = AB2.

Advertisements
Advertisements

प्रश्न

If AOB is a diameter of a circle and C is a point on the circle, then AC2 + BC2 = AB2.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य
Advertisements

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]

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 10: Circles - Exercise 10.2 [पृष्ठ १०२]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 9
अध्याय 10 Circles
Exercise 10.2 | Q 6. | पृष्ठ १०२

संबंधित प्रश्न

ABCD is a quadrilateral such that ∠D = 90°. A circle (O, r) touches the sides AB, BC, CD and DA at P,Q,R and If BC = 38 cm, CD = 25 cm and BP = 27 cm, find r.


A is a point at a distance 13 cm from the centre O of a circle of radius 5 cm. AP and AQ are the tangents to the circle at P and Q. If a tangent BC is drawn at a point R lying on the minor arc PQ to intersect AP at B and AQ at C, find the perimeter of the ∆ABC.


In the given figure, AB is a diameter of a circle with centre O and AT is a tangent. If \[\angle\] AOQ = 58º, find  \[\angle\] ATQ.


In the given figure, PO \[\perp\]  QO. The tangents to the circle at P and Q intersect at a point T. Prove that PQ and OTare right bisector of each other.



In the above figure, `square`XLMT is a rectangle. LM = 21 cm, XL = 10.5 cm. Diameter of the smaller semicircle is half the diameter of the larger semicircle. Find the area of non-shaded region.


If O is the centre of the circle, find the value of x in each of the following figures


A chord is at a distance of 15 cm from the centre of the circle of radius 25 cm. The length of the chord is


In a right triangle ABC in which ∠B = 90°, a circle is drawn with AB as diameter intersecting the hypotenuse AC and P. Prove that the tangent to the circle at P bisects BC.


If two chords AB and CD of a circle AYDZBWCX intersect at right angles (see figure), prove that arc CXA + arc DZB = arc AYD + arc BWC = semi-circle.


If radius of a circle is 5 cm, then find the length of longest chord of a circle.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×