KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math: Questions 6 - 9 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 Equation

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.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 8

» Sets, Relations and Functions » Sets and Their Representation

MCQ▾

Question

Let a, b, x, y be real numbers such that Equation , Equation and Equation . Then the set of all possible values of Equation is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

{0}

d.

Equation

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.

Equation

b.

Equation

c.

Equation

d.

Equation

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