Basic Mathematics-Geometry (KVPY Stream-SA (Class 11) Math): Questions 33 - 37 of 62

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Question number: 33

» Basic Mathematics » Geometry » Quadrilateral and Properties

MCQ▾

Question

The area of a rectangular PQRS is 36. Points M and N are on the side RS, such that PM = QN = 5. Find the length of MN. (Lengths of sides of the rectangular are integer)

Choices

Choice (4) Response
a.

5

b.

3

c.

4

d.

2

Question number: 34

» Basic Mathematics » Geometry » Circle and Properties

MCQ▾

Question

Suppose P is a point on the circle with centre O and radius 2; R is a point outside the circle such that in triangle PRO, ∠POR = 40. Let S be the point where the segment PS intersects the given circle. If PS = SR, then measure of ∠SRP equals,

Choices

Choice (4) Response
a.

460

b.

880

c.

440

d.

480

Question number: 35

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

Question

The three different face diagonals of a cuboid (rectangular parallelepiped) have lengths 70, 82, 86. The length of the main diagonal of the cuboid which joins a pair of opposite corners is

Choices

Choice (4) Response
a.

90.78

b.

97.52

c.

80.63

d.

95.36

Question number: 36

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

Question

Let ABCD be a square of side length 1, and a circle of radius r, passing through B and C, and touching AD. The radius of r is –

Choices

Choice (4) Response
a.

58

b.

38

c.

12

d.

12

Question number: 37

» Basic Mathematics » Geometry » Triangle and Properties

MCQ▾

Question

In a triangle ABC, points X and Y are on AB and AC, respectively, such that XY is parallel to BC. Which of the two following equalities always hold? (Here [PQR] denotes the area of triangle PQR) –

(I) [BCX] = [BCY]

(II) [ACX][ABY]=[AXY][ABC]

Choices

Choice (4) Response
a.

(II)

b.

Neither (I) nor (II)

c.

(I)

d. Both a. and c. are correct

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