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SSC: Geometry: 08.01.2018

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Question 1

Find the radius of the circle if the length of its arc is 33 cm and the corresponding central angle is 90 °?

Question 2

AB is a diameter of the circle with centre O, DC is the chord of the circle parallel to AB, If ∠BOD = 120 ° , then the value of ∠ACD is

Question 3

Find the coordinate of points on the straight line x + y = 5 which are at unit distance from the line 4x + 3y = 8:

Question 4

If the ordinate and abscissa of the point (k, 2k-1) are equal then the value of k is how much?

Question 5

The measure of the angle between the internal and external bisectors of an angle is

Question 6

ABCDEF is a regular hexagon. P is a point on CF such that measure of angle APF = 30°. Find the ratio of the area of ABCP to the hexagon ABCDEF.

Question 7

ABCD is a cyclic trapezium with AD || BC. If ∠A = 105° then other three angles are:

Question 8

If ABCD be a rhombus, AC is its smallest diagonal and

find length of a side of the rhombus when

Question 9

The in-radius of an equilateral triangle is 8 cm. Find its circumradius.

Question 10

In a triangle ABC, if ∠A + ∠C = 140° and ∠A + 3∠B = 180° then ∠A is equal to:

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Jun 2SSC & Railway