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CDS || Mathematics || Geometry || 26-04-2019

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Question 1

ABCD is a quadrilateral, the sides of which touch a circle. Which one of the following is correct?

Question 2

What is the perimeter of the sector whose central angle is 60 ° and radius of the circle is 21 cm?

Question 3

The circumference of a circle is equal to the perimeter of an equilateral triangle. If the radius of the circle is 7 cm what is the length of the side of the equilateral triangle?

Question 4

In ∆ABC, C = 54 °, the perpendicular bisector of AB at D meets BC at E. If EAC = 42 °, then what is the value (in degrees) of ABC?

Question 5

ABCD is a square. An equilateral ΔOAB is inscribed in square. Find the angle DOC.

Question 6

In the figure, CD and AB are diameters of circle and AB and CD are perpendicular to each other. LQ and SR are perpendiculars to AB and CD respectively. Radius of circle is 5 cm, PB: PA = 2:3 and CN:ND = 2:3. What is the length (in cm) of SM?

Question 7

There are 8 equidistant points A, B, C, D, E, F, G and H (in same order) on a circle. What is the value of FDH (in degrees)?

Question 8

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

Question 9

A circle has its centre at O. A tangent drawn from a point P, which is situated outside the circle, touches the circle at A, If PA = 4 cm & PO = 5 cm, then the length of the radius of the circle is

Question 10

Point A (2, 1) divides segment BC in the ratio 2:3. Co - ordinates of B are (1, - 3) and C are (4, y). What is the value of y?
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