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Geometry || 19.03.2021

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Question 1

The area of a rhombus is 300 cm2. If the length of one of the diagonals of the rhombus is 30 cm, then what is the length in cm of the second diagonal?

Question 2

The sides of an isosceles triangles are 10 cm, 10 cm and 12 cm. What is the area of the triangle?

Question 3

If in the following figure (not to the scale), ACB = 135º and the radius of the circle is 2√2 cm, then the length of the chord AB is:

Question 4

In the following figure (not to scale), at the centre O, if the chord AB subtends double the angle that is subtended by chord CD and the angle AEB = 2AOB, then COD is equal to:

Question 5

In which of the following quadrilaterals opposite angles are supplementary?

Question 6

In a triangle ABC, ∠A = 76°, ∠B = 52° and AD ⊥ BC. If DC = 6 cm and AC = 16 cm, then the length of AB is

Question 7

A circle touches the side BC of a ∆ABC at P and also touches AB and AC produced at Q and R, respectively. If the perimeter of ∆ABC = 26.4 cm, then the length of AQ is:

Question 8

In a triangle ABC, the length of BC is less than twice the length of AB by 3 cm. The length of the AC exceeds the length of AB by 1 cm. The perimeter of the triangle is 34 cm. The length (in cm) of the smallest side of the triangle is:

Question 9

The chord AB and CD of a circle intersect at E. If AE = 12 cm, BE = 20.25 cm, and CE = 3DE, then the length of CE is:

Question 10

Which of the following points lies on the line 3x − 4y = −13?
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