KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math: Questions 81 - 83 of 155

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 155 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 150.00 or

Question number: 81

» Statistics and Probability » Standard Deviation

Appeared in Year: 2014

MCQ▾

Question

Let n3 . A list of number x1,x2,,xn has mean μ and standard deviation σ . A new list of numbers y1,y2,,yn is made as follows: y1=x1+x22,y2=x1+x22 and yj=x for j=3, 4,n . The mean and the standard deviation of the list are μ^ and σ^ . Then which of the following is necessarily true?

Choices

Choice (4) Response

a.

μ=μ^andσσ^

b.

σ=σ^

c.

μμ^

d.

μ=μ^andσσ^

Question number: 82

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2013

MCQ▾

Question

Let XY be the diameter of a semicircle with centre O . Let A be a variable point on the semicircle and B another point on the semicircle such that AB is parallel to XY . The value of BOY for which the inradius of triangle AOB is maximum, is – (Model Paper)

Choices

Choice (4) Response

a.

sin1(512)

b.

cos1(512)

c.

π5

d.

π3

Question number: 83

» Differential Calculus » Geometric Interpretation of Derivative » Tangents

Appeared in Year: 2013

MCQ▾

Question

The sum of non – real roots of the polynomial equation 23x3+2x2+2x+2=0 . (Model Paper)

Choices

Choice (4) Response

a.

Equals 0

b.

Has absolute value bigger than 1

c.

Lies between 0 and 1

d.

Lies between – 1 and 0

Sign In