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SSC: Geometry: 11.12.2017

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Question 1

Two circles have radius 5 cm and 8 cm. And the distance between the center of two circles is 15 cm. Find the length of direct common tangent of circles:

Question 2

AB is the diameter of a circle with centre O and P be a point on its circumference. If then the value of is

Question 3

In the given figure, O is the centre of the circle. If AOC = 90 °, find ABC

Question 4

In a triangle ABC, BC is produced to D so that CD = AC. If ∠BAD = 111° and ∠ACB = 80° then the measure of ∠ABC is:

Question 5

Dodecahedron has 12 faces and 20 vertices . How many edges does it have?

Question 6

A regular polygon has 54 diagonals. Another regular Polygon has an interior angle of 156 °. What is the ratio of the number of sides of the 1st polygon to the 2nd polygon?

Question 7

A rectangle is such that the ratio of the length and breadth is 3:2. Find the area of the rectangle if on increasing the length and breadth by 4 metres, the ratio becomes 10:7 (in m2)

Question 8

The angles of a quadrilateral are in the ratio of 4:6:7:1 and two angles of a triangle are in the ratio of 3:2. The third angle of a triangle is equal to second largest angle of quadrilateral. Find the sum of largest and smallest angle of triangle.

Question 9

The side of an equilateral triangle ABC is 24 cm. If G is the centroid of an equilateral triangle, then find the length of AG.

Question 10

In case of an acute angled triangle, its ortho centre lies:
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