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CDS || Mathematics || Geometry || 12-04-2019

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Question 1

The number of sides of two regular polygons are in the ratio 5 : 4. The difference between their interior angles is 9o. Consider the following statements :
1) One of them is a pentagon and the other is a rectangle.
2) One of them is a decagon and the other is an octagon.
3) The sum of their exterior angles is 720o.
Which of the above statements is/are correct?

Question 2

Line Segment AB is parallel to line segment CD, AD intersects BC in E; If lengths of AE, BC and ED are 18 cm, 13.6 cm and 6 cm, what is the length of EC?

Question 3

For triangle ABC, find equation of median AD if co-ordinates of A, B and C are (-1,-3), (5,-4) and (3,2) respectively?

Question 4

If l is the in-centre of ΔABC and ∠A = 60°, then the value of ∠BIC is-

Question 5

Two chords AB and CD of cricle whose centre is O, meet at the point P and AOC = 50 °, BOD = 40 °. Then the value of BPD is

Question 6

A, O, B are three points on a line segment and C is a point not lying on AOB. if AOC = 40 and OX, OY are the internal and external bisector of AOC respectively ,then BOY is

Question 7

If the perimeter of an equilateral triangle is 12 cm, find its area .

Question 8

In figure if and then the value of x

Question 9

The ratio of an interior angle to the exterior angle of a regular polygon is 5 : 1. The number of sides of polygon is

Question 10

A can go round a circular path 8 times in 40 min, if the radius of the circle in increased to 10 times the original diameter, the time required by A to go round the new path once travelling at the same speed as before is
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