6. In the adjoining figure, O is the centre of circle anddiameter AC =

1.	6. In the adjoining figure, O is the centre of circle anddiameter AC = 26 cm. If chordAB = 10 cm, then the distancebetween chord AB and centre o of thecircle is:(a) 24 cm(b) 16 cm(c) 12 cm(d) none of the above
Answer» AC=26cmthereforeradius AO=1/2AC=1/2x26=13cmNow AB=10 cmsince distance from centre of circle to a chord bisect the chord therefore AM=1/2AB=1/2x10=5cmIn right ΔAMO using pythagoras theorem we getAO²=AM²+OM²13²=5²+OM²OM²=169-25OM²=144OM²=12²OM=12cmtherfore correct option is (c) 12cm OA^2= OM^2+AM^2(13)^2= OM^2+(5)^2169-25=OM^2√144= OM12 CM= OMdist from center is 12cm option c is the right answer option c is the right answer option c is the correct answer

6. In the adjoining figure, O is the centre of circle anddiameter AC = 26 cm. If chordAB = 10 cm, then the distancebetween chord AB and centre o of thecircle is:(a) 24 cm(b) 16 cm(c) 12 cm(d) none of the above

Answer»

AC=26cmthereforeradius AO=1/2AC=1/2x26=13cmNow AB=10 cmsince distance from centre of circle to a chord bisect the chord therefore AM=1/2AB=1/2x10=5cmIn right ΔAMO using pythagoras theorem we getAO²=AM²+OM²13²=5²+OM²OM²=169-25OM²=144OM²=12²OM=12cmtherfore correct option is (c) 12cm

OA^2= OM^2+AM^2(13)^2= OM^2+(5)^2169-25=OM^2√144= OM12 CM= OMdist from center is 12cm

option c is the right answer

option c is the correct answer

Discussion

No Comment Found

Related InterviewSolutions

The bisector of an exterior angle at the vertex of an isosceles triangle isparallel to its base. State and prove its converse.
( x - 5 ) ( x - 6 ) = \frac 25 ( 24 ) ^ 2
Write any two rational numbers which are between 2.3 and 2.4.
3. State exterior angle property of a triangle
Mathematics for Class 7and name2. Given below are pairs of congruentriangles. State the property of congruencethe congruent triangles in each case.Q.50 50В 70.60 60
8D180 (linear pair property),Hence, AD bisects BC at right angles.EXERCISE 9(B). Given below are pairs of congruent triangles. State the property of congruence and name thecongruent triangles in each case
10. State the property illustrated in the following.-5 9 9,56 24 24X--=
3. Write two rational numbers between :NE(b)- and -COIN
mine the longest tape which can be used to measure exactly the lengths 7 m
Find the general solution of the equation: sin x + sin 3x + sin 5x-0.+ sin 3x sin 5x 0

6. In the adjoining figure, O is the centre of circle anddiameter AC = 26 cm. If chordAB = 10 cm, then the distancebetween chord AB and centre o of thecircle is:(a) 24 cm(b) 16 cm(c) 12 cm(d) none of the above

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment