MEDIUM
10th West Bengal Board
IMPORTANT
Earn 100

The distance between the centres of two circles of radii 3 cm and 8 cm is 13 cm. The points of contact of a direct common tangent to the circles are P and Q. The length of PQ is _____.

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Important Questions on Miscellaneous Exercise : Geometry

MEDIUM
10th West Bengal Board
IMPORTANT

The length of two chords AB and AC of a circle are 10 cm and 24 cm. If the chord AB is at a distance 12 cm from the centre, then the distance of the chord AC from the centre is _____.

MEDIUM
10th West Bengal Board
IMPORTANT

Two equal circles of radius 'r' intersect in such a way that the centre of each circle passes through the centre of the other. Then the length of the common chord is _____.

MEDIUM
10th West Bengal Board
IMPORTANT
The circumradius of a triangle of sides 3 cm, 4 cm and 5 cm is _____.
MEDIUM
10th West Bengal Board
IMPORTANT
In an isosceles triangle ABC, AB=AC. The circle with AB as diameter meets BC at D. If BD=3 cm, then the length of CD is _____.
MEDIUM
10th West Bengal Board
IMPORTANT
The chord AB and CD of a circle with centre O, meet at P. If APC=40°, then the value of AOC+BOD is _____.
MEDIUM
10th West Bengal Board
IMPORTANT
The hypotenuse of a right-angled triangle is (m+n) and one of its sides is (m-n). The third side is _____.
EASY
10th West Bengal Board
IMPORTANT
A chord is drawn to a circle of radius 2.9 cm at a distance 2.1 cm from the centre of the circle. The length of the chord is 
EASY
10th West Bengal Board
IMPORTANT
Two chords PQ and RS of a circle are produced to meet at O. If PQ=6 cmOQ=8 cm and OS=7 cm , then the length of the chord RS is