KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math: Questions 50 - 54 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: 50

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2013

MCQ▾

Question

Let ABC be an acute – angled triangle and let D be the midpoint of BC. If AB = AD, then tanBtanC equals,

Choices

Choice (4) Response
a.

2

b.

3

c.

4

d.

5

Question number: 51

» Coordinate Geometry » Straight Lines

Appeared in Year: 2013

MCQ▾

Question

If a, b are positive real numbers such that the lines ax+9y=5 and 4x+by=3 are parallel, then the least possible value of a+b is–

Choices

Choice (4) Response
a.

8

b.

12

c.

13

d.

6

Question number: 52

» Differential Calculus » Geometric Interpretation of Derivative » Tangents

Appeared in Year: 2013

MCQ▾

Question

The sum of non-real roots of the polynomial equation x3+3x2+3x+3=0.

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

Question number: 53

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2012

MCQ▾

Question

Let f(x)=x+1x1 for all x1 . Let f1(x)=f(x) , f2(x)=f(f(x)) and generally fn(x)=f(fn1(x)) for n > 1.

Let, P=f1(2)f2(3)f3(4)f4(5) which of the following is a multiple of P

Choices

Choice (4) Response
a.

125

b.

375

c.

250

d.

147

Question number: 54

» Coordinate Geometry » Distance Formula

Appeared in Year: 2013

MCQ▾

Question

Consider a triangle ABC in the XY – plane with vertices A = (0, 0), B = (1, 1) and C = (9, 1). If the line x = a divides the triangle into two parts of equal area, then a equals –

Choices

Choice (4) Response
a.

3

b.

4.5

c.

3.5

d.

4

Sign In