KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math: Questions 130 - 133 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: 130

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2013

MCQ▾

Question

The vertices of the base of an isosceles triangle lie on a parabola y2=4x and the base is a part of the line y=2x4 . If the third vertex of the triangle lies on the X – axis, its coordinates are – (Model Paper)

Choices

Choice (4) Response

a.

(92,0)

b.

(52,0)

c.

(112,0)

d.

(72,0)

Question number: 131

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2014

MCQ▾

Question

Let ABC be a triangle such that AB=BC . Let F be the midpoint of AB and X be a point on BC such that FX is perpendicular to AB . If BX=3XC then the ratio BCAC equals:

Choices

Choice (4) Response

a.

1

b.

2

c.

3

d.

32

Question number: 132

» Statistics and Probability » Probability of an Event

Appeared in Year: 2015

MCQ▾

Question

Let Xn={1, 2,3,,n} and let a subset A of Xn be chosen so that every pair of elements of A differ by at least 3. (For example, if n=5 , A can be ϕ , {2} or {1, 5} among others). When n=10, let the probability that 1A be p and let the probability that 2A be q . Then –

Choices

Choice (4) Response

a.

p>q and pq=16

b.

p<q and qp=110

c.

p>q and pq=110

d.

p<q and qp=16

Question number: 133

» Integral Calculus » Evaluation of Definite Integrals

Appeared in Year: 2015

MCQ▾

Question

Define a function f:RR by f(x)=max{ x , x1 ,, x2n } , where n is fixed natural number. Then

02nf(x)dx is –

Choices

Choice (4) Response

a.

n2

b.

3n2

c.

n

d.

3n

Sign In