KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 136 - 141 of 172

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Question number: 136

» Coordinate Geometry » Equation of a Circle

Appeared in Year: 2015

MCQ▾

Question

The shortest distance from the origin to a variable point on the sphere Equation is –

Choices

Choice (4) Response

a.

8

b.

7

c.

5

d.

6

Question number: 137

» Coordinate Geometry » Intercepts of a Line on Coordinate Axes

Appeared in Year: 2015

MCQ▾

Question

Suppose OABC is a rectangle in the Equation plane where Equation is the origin and A, B lie on the parabola Equation . Then Equation must lie on the curve –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 138

» Complex Numbers and Quadratic Equations » Algebra of Complex Numbers

Appeared in Year: 2015

MCQ▾

Question

If Equation is a complex number satisfying Equation , then the maximum possible value of Equation is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

2

d.

1

Question number: 139

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2015

MCQ▾

Question

The sides of a right –angled triangle are integers. The length of one of the sides is 12. The largest possible radius of the in-circle of such a triangle is –

Choices

Choice (4) Response

a.

3

b.

4

c.

5

d.

2

Question number: 140

» Matrices and Determinants » Evaluation of Determinants

Appeared in Year: 2015

MCQ▾

Question

The remainder when the determinant,

Equation

is divided by Equation is –

Choices

Choice (4) Response

a.

1

b.

3

c.

4

d.

2

Question number: 141

» Trigonometry » Trigonometric Identities and Equations

Appeared in Year: 2015

MCQ▾

Question

The number of real numbers Equation for which the equality

Equation

Holds for all real Equation which are not integral multiple of Equation is –

Choices

Choice (4) Response

a.

Infinite

b.

3

c.

2

d.

1

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