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CDS || Mathematics || Geometry || 19-04-2019

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Question 1

G is the centroid of ∆ABC. If AG = BC, then measure of BGC is

Question 2

In the figure given above, AB is parallel to CD. What is

Question 3

D, E, F are the mid - points of the sides BC, CA and AB respectively of a ∆ABC. Then the ratio of the areas of ∆ DEF and ∆ABC is

Question 4

Consider the following statements :
1). If the diagonals of a parallelogram ABCD are perpendicular, then ABCD may be a rhombus.
2). If the diagonals of a quadrilateral ABCD are equal and perpendicular, then ABCD is a square.
Which of the statements given abve is/ are correct?

Question 5

If a > b > 0, AB = a – b cm, BC = 2(ab)1/2 then ABC is

Question 6

In the figure given above, ABCD is a parallelogram. P is a point on BC such that PB : PC =1 :2 DP produced meets AB produced at Q. if the area of the triangle BPQ is 20 square uniits, what is the area of the triangle DCP ?

Question 7

If the measure of one angle of a triangle is the sum of other two angles. Which type of triangle it will be?

Question 8

Chord CD intersects the diameter AB of a circle at right angle at a point P in the ratio 1:2. If diameter of circle is d, then CD is equal to

Question 9

In the given figure, if and PY = 18 cm, then what is the value (in cm) of PQ?

Question 10

Two equal circles of radius 3 cm each and distance between their centres is 10 cm. The length of one of their transverse common tangent is
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