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CDS || Mathematics || Geometry || 08-02-2019

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Question 1

find the distance between two parallel chords which are on the same side of centre of a circle whose radius is 5 cm whereas length of chords is 6cm and 8cm

Question 2

Which of the following statement is incorrect?

Question 3

Two medians AD and BE of intersect at G at right angles. If AD = 9 cm and BE = 6 cm, then the length of BD, in cm, is

Question 4

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:5 and area of ΔADE is 8 cm sq, what is the area (in sq cm) of quadrilateral BDEC?

Question 5

ABCD is a square. F is the mid point of AB. BE=1/3 BC. If  Area of triangle FBE=108sqcm then find AC

Question 6

Find the point which divides the line segment joining the points (-2, 4) and (3,0) in the ratio 1 : 2.

Question 7

ABC is a right angled triangle. BAC = 90o and ACB = 60o. What is the ratio of the circum radius of the triangle to the side AB?

Question 8

For which value of k, the points (1, 5), (k, –1) and (2, 7) will be collinear.

Question 9

Find the area of a trapezium whose one side is the diameter of the circle having the radius of 5 cm and its parallel side to the first side is a chord 3 cm away from the centre of the circle.

Question 10

Chords AB and CD of a circle intersect at E and are perpendicular to each other. Segments AE, EB and ED are of lengths 2 cm, 6 cm and 3 cm respectively. Then the length of the diameter of the circle in cm is
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