KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 128 - 131 of 172

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Question number: 128

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2013

MCQ▾

Question

Let Equation be real numbers such that,

Equation

For every natural number Equation . Then Equation is equal to – (Model Paper)

Choices

Choice (4) Response

a.

3

b.

15

c.

7

d.

12

Question number: 129

» 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.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 130

» 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 Equation and the base is a part of the line Equation . If the third vertex of the triangle lies on the X – axis, its coordinates are – (Model Paper)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 131

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2014

MCQ▾

Question

Let Equation be a triangle such that Equation . Let Equation be the midpoint of Equation and Equation be a point on Equation such that Equation is perpendicular to Equation . If Equation then the ratio Equation equals:

Choices

Choice (4) Response

a.

1

b.

Equation

c.

Equation

d.

Equation

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