KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 30 - 33 of 172

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Question number: 30

» 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 equationEquation . Then the area of the rectangle is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

16

d.

20

Question number: 31

» 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 Equation 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: 32

» Trigonometry » Trigonometric Functions

Appeared in Year: 2011

MCQ▾

Question

Let Equation and Equation Then T,

Choices

Choice (4) Response

a.

Is independent of A, B, C, D, E

b.

Depends on A, B, C, D, E

c.

Depend on B, D but independent of A, C, E

d.

Depends on A, C, E but independent of B and D

Question number: 33

» Integral Calculus » Evaluation of Definite Integrals

Appeared in Year: 2010

MCQ▾

Question

LetEquation , where n is non-negative integer. Then Equation is equal to –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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