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CDS || Mathematics || Geometry || 01-03-2019

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Question 1

ABCD is a cyclic quadrilateral and AB is the diameter of the circle. If CAB = 48 °, then what is the value (in degrees) of ADC?

Question 2

If x2+y2+z2 = xy+yz+zx , then the triangle is:

Question 3

In the following figure drawn below, line m1 &line m2 intersect with each other. If a = 5b. calculate ‘a + c + d’?

Question 4

is an equilateral triangle and D, E are midpoints of AB and BC respectively. Then the area of : the area of the trapezium ADEC is

Question 5

In the given figure diameter of the larger circle is 10 cm and the smaller circle touches internally the larger circle at P and passes through O, the center of the larger circle. Chord SP cuts the smaller circle at R and OR is equal to 4 cm. What is the length of the chord SP?

Question 6

The diagonals are congruent in a _______

Question 7

In the following Figure P is the centre and PQRS is a parallelogram and RSE is a straight line then ∠QRS : ∠QES = ?

Question 8

What is the reflection of the point (4, -3) in the line y = -2?

Question 9

Let two chords AB and AC of the larger circle touch the smaller circle having same center at X and Y. Then XY = ?

Question 10

An equilateral triangle ABC having its centroid as G as shown in figure. If AB = 12 cm, then find the length of AG?
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