Integral Calculus-Integration Using Trigonometric Identities (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 1 - 4 of 4

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Question number: 1

» Integral Calculus » Integration Using Trigonometric Identities

Appeared in Year: 2012

MCQ▾

Question

The value of the integral, where is –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 2

» Integral Calculus » Integration Using Trigonometric Identities

Appeared in Year: 2012

MCQ▾

Question

The value is –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 3

» Integral Calculus » Integration Using Trigonometric Identities

Appeared in Year: 2013

MCQ▾

Question

For x, t ∈ R let,

be a family of quadratic polynomials in x with variable coefficients. Let

Which of the following statements are true?

(i) for all t.

(ii) has infinitely many critical points.

(iii) for infinitely many t

(iv) for all t.

Choices

Choice (4) Response

a.

(i) and (ii) only

b.

(iii) and (iv) only

c.

(ii) and (iii) only

d.

(iv) and (i) only

Question number: 4

» Integral Calculus » Integration Using Trigonometric Identities

Appeared in Year: 2013

MCQ▾

Question

A function is defined as,

It is a family of quadratic polynomials in with variable coefficients. And also function,

Which of the following statements are true?

(i)

(ii) has infinitely many critical points.

(iii) (Model Paper)

Choices

Choice (4) Response

a.

(iii) and (i) only

b.

(i) and (ii) only

c.

(iii) only

d.

(ii) and (iii) only

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