Coordinate Geometry (KVPY Stream-SA (Class 11) Math): Questions 1 - 4 of 12

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Question number: 1

» 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: 2

» 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: 3

» Coordinate Geometry » Distance Formula

Appeared in Year: 2011

MCQ▾

Question

A frog is presently located at the origin (0, 0) in the XY-plane. It always jumps from a point with integer coordinates to a point with integer coordinates moving a distance of 5 units in each jump. What is the minimum number of jumps required for the frog to go from (0, 0) to (0, 1)?

Choices

Choice (4) Response

a.

4

b.

9

c.

2

d.

3

Question number: 4

» Coordinate Geometry » Section Formula

Appeared in Year: 2011

MCQ▾

Question

A piece of paper in the shape of a sector of a circle (see Fig. 1) is rolled up to form a right-circular cone (see Fig. 2). The value of the angle θ is?

A piece of paper in the shape of a sector of a circle

A Piece of Paper in the Shape of a Sector of a Circle

Figure 1 shows a piece of paper in the shape of a sector of a circle. Figure 2 shows a piece of paper in the shape of a sector of a circle is rolled up to form a right circular cone.

Choices

Choice (4) Response

a.

9π13

b.

5π13

c.

10π13

d.

6π13

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