KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 37 - 42 of 172

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Question number: 37

» Matrices and Determinants » Solution of Simultaneous Linear Equations in Two or Three Variables

Appeared in Year: 2010

MCQ▾

Question

Let A denote the matrix , where , and let I denote the identity matrix . Then is –

Choices

Choice (4) Response

a.

f has local minima at x = c, a and a local maximum at x = b

b.

f has local minima at x = a, b and a local maximum at x = c

c.

f has local minima at x = b, c and a local maximum at x = a

d.

All of the above

Question number: 38

» Trigonometry » Trigonometric Functions

Appeared in Year: 2010

MCQ▾

Question

The product equals –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 39

» Sequence and Series » Geometric Progressions

Appeared in Year: 2010

MCQ▾

Question

Suppose the sides of a triangle form a geometric progression with common ratio r. Then r lies in the interval –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 40

» Matrices and Determinants » Area of Triangles Using Determinants

Appeared in Year: 2011

MCQ▾

Question

Let be two points in the plane. The locus of a point C such that the area of triangle ABC is 18 sq. units is –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 41

» Trigonometry » Trigonometric Identities and Equations

Appeared in Year: 2012

MCQ▾

Question

The value of is –

Choices

Choice (4) Response

a.

0

b.

3

c.

2

d.

4

Question number: 42

» 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,

Choices

Choice (4) Response

a.

Is equal to

b.

Is equal to

c.

Is equal to

d.

Is not a scalar multiple of in general

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