Basic Mathematics-Geometry (KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math): Questions 16 - 19 of 22

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Question number: 16

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2014

MCQ▾

Question

An ellipse inscribed in a semi – circle touches the circular are at two distinct points and also touches the bounding diameter. Its major axis is parallel to the bounding diameter. When the ellipse has the maximum possible area, its eccentricity is –

Choices

Choice (4) Response

a.

12

b.

13

c.

23

d.

12

Question number: 17

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2013

MCQ▾

Question

The vertices of the base of an isosceles triangle lie on a parabola y2=4x and the base is a part of the line y=2x4 . If the third vertex of the triangle lies on the X – axis, its coordinates are – (Model Paper)

Choices

Choice (4) Response

a.

(92,0)

b.

(52,0)

c.

(112,0)

d.

(72,0)

Question number: 18

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2014

MCQ▾

Question

Let ABC be a triangle such that AB=BC . Let F be the midpoint of AB and X be a point on BC such that FX is perpendicular to AB . If BX=3XC then the ratio BCAC equals:

Choices

Choice (4) Response

a.

1

b.

2

c.

3

d.

32

Question number: 19

» Basic Mathematics » Geometry » Polygons With More Than 4 Sides

Appeared in Year: 2015

MCQ▾

Question

Suppose ABCDEF is a hexagon such that AB=BC=CD=1 and DE=EF=FA=2 . If the vertices A, B, C, D, E, F are concyclic, the radius of the circle passing through them is –

Choices

Choice (4) Response

a.

115

b.

2

c.

73

d.

52

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