KVPY Stream-SA (Class 11) Math: Questions 6 - 10 of 265

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Question number: 6

» Coordinate Geometry » Angles Between Two Lines

Appeared in Year: 2011

MCQ▾

Question

In the adjoining figure AB = 12 cm, CD = 8 cm, BD = 20 cm; ∠ ABD = ∠ AEC = ∠ EDC = 90 0. If BE = x, then,

A geometry figure ABEDC

A Geometry Figure ABEDC

Figure shows a geometry figure ABEDC in which angle ABE = angle CDE = angle is AEC = 90 degree.

Choices

Choice (4) Response

a.

x has only one value and x12

b.

x has two possible values whose difference is 4

c.

x has two possible values whose sum is 28

d.

x cannot be determined with the given information

Question number: 7

» Sets, Relations and Functions » Equivalence Relations

Appeared in Year: 2011

MCQ▾

Question

Below are four equations in x. Assume that 0 < r < 4. Which of the following has the largest solution for x?

Choices

Choice (4) Response

a.

5(1+rπ)x=9

b.

5(1+r17)x=9

c.

5(1+2r)x=9

d.

5(1+1r)x=9

Question number: 8

» Sets, Relations and Functions » Sets and Their Representation

MCQ▾

Question

Let a, b, x, y be real numbers such that p2+q2=5 , x2+y2=125 and px+qy=25 . Then the set of all possible values of pyqx is –

Choices

Choice (4) Response

a.

(0,411]

b.

[411,)

c.

{0}

d.

(0,411)

Question number: 9

» Coordinate Geometry » Equations of Internal and External Bisectors of Angles

Appeared in Year: 2011

MCQ▾

Question

Let ABC be a triangle with ∠ B = 90 0. Let AD be the bisector of ∠ A with D on BC. Suppose AC = 6 cm and the area of the triangle ADC is 10 cm 2. Then the length of BD in cm is equal to

Choices

Choice (4) Response

a.

53

b.

35

c.

310

d.

103

Question number: 10

» Basic Mathematics » Arithmetic » Rates

Appeared in Year: 2011

MCQ▾

Question

Three taps A, B, C fill up a tank independently in 10 hr, 20 hr, 30 hr respectively. Initially the tank is empty and exactly one pair of taps is open during each hour and every pair of taps is open at least for one hour. What is the minimum number of hours required to fill the tank?

Choices

Choice (4) Response

a.

9

b.

11

c.

8

d.

10

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