# Advance Maths Quiz On Geometry

1.In a triangle ABC, AB + BC = 12 cm, BC + CA = 14 cm and CA + AB = 18 cm, Find the radius of the circle (in cm) which has the same perimeter as the triangle.
(1) 5/2
(2) 7/2
(3) 9/2
(4) 11/2

2.In DABC, PQ is parallel to BC . If AP : PB = 1 :2  and AQ = 3 cm;  AC is equal to
(1) 6 cm
(2) 9 cm
(3) 12 cm
(4) 8 cm
3.If G be the centroid of a triangle ABC such that AG = BC, then the magnitude of ÐBGC is
(1) 60°
(2) 90°
(3) 120°
(4) 135°
4.Internal bisectors of angles ÐB and ÐC of a triangle ABC meet at O. If ÐBAC = 80°, then the value of ÐBOC is
(1) 120°
(2) 140°
(3) 110°
(4) 130°
5.In DABC,ÐA+ ÐB=65°,ÐB+ ÐC=140°, then find ÐB.
(1) 40°
(2) 25°
(3) 35°
(4) 20°
6.From  a point P, two tangents PA and PB are drawn to a circle with centre O. If OP is equal to diameter of the circle, then ÐAPB is
(1) 45°
(2) 90°
(3) 30°
(4) 60°
7.From a point P which is at a distance of 13 cm from centre O of a circle of radius 5 cm. In the same plane, a pair of tangents PQ and PR are drawn to the circle. Area of quadrilateral PQOR is
(1) 65 cm^2
(2) 60 cm^2
(3) 30 cm^2
(4) 90 cm^2
8.Two parallel chords are drawn in a circle of diameter 30 cm. The length of one chord is 24 cm and the distance between the two chords is 21 cm. The length of the other chord is
(1) 10 cm
(2) 18 cm
(3) 12 cm
(4) 16 cm
9.If two equal circles whose centres are O and O’, intersect each other at the points A and B, OO’ = 12 cm and AB = 16 cm, then the radius of the circles is
(1) 10 cm
(2) 8 cm
(3) 12 cm
(4) 14 cm
10.AB and CD are two parallel chords of a circle such that AB = 10 cm and CD = 24 cm. If the chords are on the opposite sides of the centre and distance between them is 17 cm. then the radius of the circle is :
(1) 11 cm
(2) 12 cm
(3) 13 cm
(4) 10 cm

1. (2)
2. (2)
3. (2)
4. (4)
5. (2)
6. (4)
7. (2)
8. (2)
9. (1)

10.(3)

SOLUTION:

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