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Geometry || 07.05.2021

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Question 1

Chords AB and CD of a circle intersect externally at P. If AB = 6 cm. CD = 3 cm and PB = 4 cm, then the length (in cm) of PD is:

Question 2

Equilateral triangles are drawn on the hypotenuse and one of the perpendicular sides of a right-angled isosceles triangles. Their areas are H and A respectively. is equal to:

Question 3

ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and angle ADC = 125° . Then angle BAC is equal to:

Question 4

In an isosceles triangle PQR, P = 130o. If I is the in-centre of the triangle, then what is the value (in degrees) of QIR?

Question 5

Find the sum of circumference of all the circles that can be drawn upto the upper end of the following triangle, where AB=AC=25 cm and BC=14cm.

Question 6

The measure of one of the exterior angles of a triangle is twice one of the interior opposite angles and the measure of the other interior opposite angles is 60º. The triangles is a/an:

Question 7

In a triangle ABC, ∠B = 2∠C. AD & BP are bisectors of angle ∠BAC and ∠ABC. If AB = CD, then, find angle ∠ABC?

Question 8

The orthocentre of a triangle is the point where

Question 9

In the given figure, AB is parallel to CD. If DCE = x and ABE = y, then what is CEB equal to?

Question 10

In ΔABC, A = 90°. If BL and CM are the medians, then:
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