Basic Mathematics-Geometry (KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 6 - 9 of 24

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Question number: 6

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2013

MCQ▾

Question

The angle α, β, γ of a triangle satisfy the equation Equation and Equation . Then angle γ equals –

Choices

Choice (4) Response

a.

600

b.

1200

c.

1500

d.

300

Question number: 7

» Basic Mathematics » Geometry » Circle and Properties

Appeared in Year: 2012

MCQ▾

Question

Suppose two perpendicular tangents can be drawn from the origin to the circle Equation for some real p. Then Equation is equal to –

Choices

Choice (4) Response

a.

17

b.

5

c.

3

d.

0

Question number: 8

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2013

MCQ▾

Question

Let Equation be the diameter of a semicircle with centre Equation . Let A be a variable point on the semicircle and B another point on the semicircle such that Equation is parallel to Equation . The value of Equation for which the inradius of triangle Equation is maximum, is – (Model Paper)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 9

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

Appeared in Year: 2013

MCQ▾

Question

Let Equation be a closed polygon with Equation sides and Equation vertices (assume that the sides do not intersect except at the vertices). Let Equation be the number of interior angles of P that are greater than Equation . The maximum possible value of Equation is – (Model Paper)

Choices

Choice (4) Response

a.

9

b.

3

c.

7

d.

5

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