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GATE 2022: General Aptitude (Geometry)

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Question 1

If one angle of a triangle is equal to the sum of the other two angles, then comment on the type of triangle.

Question 2

PQRST is a regular pentagon. If PR and QT intersects each other at X, then what is the value (in degrees) of TXR?

Question 3

XY and XZ are tangents to a circle. ST is another tangent to the circle at the point R on the circle, which intersects XY and XZ at S and T respectively. If XY = 15 cm and TX = 9 cm, then RT is :

Question 4

The length of a line segment AB is 2 units. It is divided into two parts at the point C such that . What is the length of CB?

Question 5

If a, b, c and d(respectively) are the lengths of successive sides of a quadrilateral ABCD, and Δ be its area , which of the following is true?

Question 6

A prism is placed at the square base whose side is 12 cm. If the total surface area of the prism is 336 cm2 then find its volume.
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Jun 25ESE & GATE EE