Basic Mathematics-Geometry (KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math): Questions 1 - 5 of 22

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Question number: 1

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2011

MCQ▾

Question

In a rectangle ABCD, the coordinates of A and B are (1, 2) and (3, 6) respectively and some diameter of the circumscribing circle of ABCD has equation 2xy+4=0 . Then the area of the rectangle is –

Choices

Choice (4) Response
a.

210

b.

25

c.

16

d.

20

Question number: 2

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2010

MCQ▾

Question

Let ABC be an equilateral triangle, let KLMN be a rectangle with K, L on BC, M on AC and N on AB. Suppose ANNB=2 and the area of triangle BKN is 6. The area of the triangle ABC is –

Choices

Choice (4) Response
a.

54

b.

108

c.

48

d. Question does not provide sufficient data or is vague

Question number: 3

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2011

MCQ▾

Question

In triangle ABC, we are given that 3sinA+4cosB=6 and 4sinB+3cosA=1 . Then the measure of the angle C is –

Choices

Choice (4) Response
a.

600

b.

1500

c.

750

d.

300

Question number: 4

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2012

MCQ▾

Question

Let h be the orthocenter of an acute – angled triangle ABC and O be its circumcenter. Then HA+HB+HC ,

Choices

Choice (4) Response
a.

Is equal to HO

b.

Is equal to 2HO

c.

Is equal to 3HO

d.

Is not a scalar multiple of HO in general

Question number: 5

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2013

MCQ▾

Question

Let ABC be an acute – angled triangle and let D be the midpoint of BC. If AB = AD, then tanBtanC equals,

Choices

Choice (4) Response
a.

2

b.

3

c.

4

d.

5

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