Basic Mathematics-Geometry (KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math): Questions 6 - 9 of 22

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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 2sinα+3cosβ=32 and 3sinβ+2cosα=1 . 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 x2+y26x2py+17=0, for some real p. Then p 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 XY be the diameter of a semicircle with centre O . Let A be a variable point on the semicircle and B another point on the semicircle such that AB is parallel to XY . The value of BOY for which the inradius of triangle AOB is maximum, is – (Model Paper)

Choices

Choice (4) Response

a.

sin1(512)

b.

cos1(512)

c.

π5

d.

π3

Question number: 9

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

Appeared in Year: 2013

MCQ▾

Question

Let P be a closed polygon with 10 sides and 10 vertices (assume that the sides do not intersect except at the vertices). Let k be the number of interior angles of P that are greater than 1800 . The maximum possible value of k is – (Model Paper)

Choices

Choice (4) Response

a.

9

b.

3

c.

7

d.

5

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