KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 134 - 139 of 172

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Question number: 134

» Basic Mathematics » Geometry » Polygons With More Than 4 Sides

Appeared in Year: 2015

MCQ▾

Question

Suppose ABCDEF is a hexagon such that AB=BC=CD=1 and DE=EF=FA=2 . If the vertices A, B, C, D, E, F are concyclic, the radius of the circle passing through them is –

Choices

Choice (4) Response

a.

115

b.

2

c.

73

d.

52

Question number: 135

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2015

MCQ▾

Question

If log(3x1)(x2)=log(9x26x+1)(2x210x2) , then x equals –

Choices

Choice (4) Response

a.

2+5

b.

3+15

c.

65

d.

915

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 (x2)2+(y3)2+(z6)2=1 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 xy plane where O is the origin and A, B lie on the parabola y=x2 . Then C must lie on the curve –

Choices

Choice (4) Response

a.

y=x2+2

b.

y=2x2=1

c.

y=x2+2

d.

y=2x2+1

Question number: 138

» Complex Numbers and Quadratic Equations » Algebra of Complex Numbers

Appeared in Year: 2015

MCQ▾

Question

If z is a complex number satisfying z3+z3 2 , then the maximum possible value of z+z1 is –

Choices

Choice (4) Response

a.

23

b.

22

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

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