KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 11 - 13 of 172

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Question number: 11

» Coordinate Geometry » Parabola

Appeared in Year: 2011

MCQ▾

Question

In the xy – plane, three distinct lines l1,l2,l3 concur at a point (λ, 0). Further the lines l1,l2,l3 are normal to the parabola y2=6x at the points A=(x1,y1),B=(x2,y2),C=(x3,y3) respectively. Then we have –

Choices

Choice (4) Response

a.

λ>3

b.

5<λ<3

c.

λ<5

d.

0<λ<3

Question number: 12

» Basic Mathematics » Arithmetic » Ratio and Proportion

Appeared in Year: 2011

MCQ▾

Question

Two players play the following game: A writes 3, 5, 6 on three different cards; B writes 8, 9, 10 on three different cards. Both draw randomly two cards from their collections. Then A computes the product of two numbers he/she has drawn, and B computes the sum of two numbers he/she has drawn. The player getting the larger number wins. What is the probability that A wins?

Choices

Choice (4) Response

a.

19

b.

59

c.

49

d.

13

Question number: 13

» Sets, Relations and Functions » Union, Intersection and Complement of Sets

Appeared in Year: 2011

MCQ▾

Question

Let X be a nonempty set and let P (X) denote the collection of all subsets of X. Define

f:X×P(X)Rby,

f(x,A)={1,xA0,xA

Then f(x,AB) equal to –

Choices

Choice (4) Response

a.

f(x,A)+f(x,B)

b.

f(x,A)+f(x,B)1

c.

f(x,A)+f(x,B)f(x,A)f(x,B)

d.

f(x,A)+ f(x,A)f(x,B)

f Page
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